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Probability (Concept + All type of Problems) 

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Probability is the measure that an event will occur. Probability expressed on a linear scale between 0 and 1, wher, 0 indicates impossibility and 1 indicates certainty. Probability also expressed as a percentage between 0 and 100%. The higher the probability of an event, the more likely it is that the event will occur.
Example :- When a coin is tossed, the possible outcomes are Head and Tail. So, the sample space is represented as {H, T}.
Similarly when two coins are tossed, the sample space is {(H,H), (H,T), (T,H), (T,T)}.
The probability of head each time you toss the coin is 1/2. So it is also the probability of tail.
Another example is the rolling of dice. When a single die is rolled, the sample space is {1,2,3,4,5,6}.
What is the probability of rolling a 5 when a die is rolled?
No. of ways it can occur = 1
Total no. of possible outcomes = 6
So the probability of rolling a particular number when a die is rolled = 1/6.
PERMUTATION & COMBINATION (Concept + Problems) :
• PERMUTATION & COMBINAT...
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28 сен 2017

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Комментарии : 111   
@sathvik8303
@sathvik8303 Год назад
We want more of these videos makes me practice without using my hand 😂 which is a lot of time saving
@techhow429
@techhow429 Год назад
this is amazing video....very educational in less time Thanks you so much❤❤❤
@BacchonKeCartoons
@BacchonKeCartoons 6 лет назад
very 2 nice lecture sir ji...all concepts r clear...in jst 1 lecture...😎
@StartUpStudy
@StartUpStudy 6 лет назад
Thank You!
@rishuraj1543
@rishuraj1543 2 года назад
No biased coin questions. Actually I was searching for them
@deepanshuojha7387
@deepanshuojha7387 Год назад
buddy you are superb 👍🏻👍🏻🥂
@nishakhan3017
@nishakhan3017 4 года назад
Thanks u so much respected sir 🙂
@bepositiverrajawat
@bepositiverrajawat Год назад
thanks for clearing doubts......
@MrUbercool007
@MrUbercool007 6 лет назад
great video...Thank you!..
@EAGLEFF.495
@EAGLEFF.495 2 года назад
Thank you so much sir 😊
@Akash-lc4oo
@Akash-lc4oo 6 лет назад
bht accha sir 🙏
@vinayakmahendrakar2373
@vinayakmahendrakar2373 2 года назад
Very good teaching sir
@sunilmadnani3865
@sunilmadnani3865 3 года назад
Mast 👍
@blackfootball3414
@blackfootball3414 Год назад
Thank You Sir ✨
@santhosh8290
@santhosh8290 2 года назад
4 friends went out for drinks. When it comes time to settle the bill, they decide to play a game called “Odd one out”. The game goes as follows: each of them will flip a fair coin; if one of them has a coin flip that is different from the other 3, then that person is the “odd one out” and has to settle the bill for all. What is the probability that playing this game once will result in an “odd one out”?
@sirdax626
@sirdax626 7 месяцев назад
Im sorry that you are still waiting since 2 years for your question to be answered
@vivekryadavofficial
@vivekryadavofficial 3 года назад
Thanks Sir.
@igniousprogrammerip3536
@igniousprogrammerip3536 3 года назад
not explaining the formula of calculating sample space i am unable to understand anything
@razatkushwaha
@razatkushwaha 3 года назад
Great
@AbhishekThakur-fk7px
@AbhishekThakur-fk7px Год назад
Thank you so much sir.
@areejzill9180
@areejzill9180 7 месяцев назад
SO GOOD
@shubhanusamanta5787
@shubhanusamanta5787 3 года назад
Thank you sir
@naageshk1256
@naageshk1256 Год назад
Thank you so much 👍👌💓
@01234567899970
@01234567899970 2 года назад
Thanks man
@KeyserTheRedBeard
@KeyserTheRedBeard 2 года назад
cool content StartUp Study. I broke the thumbs up on your video. Continue to keep up the superior work.
@forensicpredator3020
@forensicpredator3020 Год назад
how you are writing 35 directly in question number 6 and 7 could you explain please
@Sanara_Singh
@Sanara_Singh 2 месяца назад
He is applying the rule of combination. If yuh are below or in class 10 then yuh won't get it. It's for higher classes. Since there are total 7 balls and we have to choose 3 balls out of 'em, so the total outcome will be 7^C3 means 7*6*5/3*2*1 = 35. Yuh gotta multiply the superscript in reverse order to three numbers, since subscript has 3 mentioned, and divide it by the product of reversing 3 to 1[thats how combination works ]
@ashutoshkumarsingh6718
@ashutoshkumarsingh6718 3 года назад
Thank you
@neetumonga
@neetumonga 2 года назад
Wow that great sir 👍👍
@fatehbahadursingh8826
@fatehbahadursingh8826 2 года назад
Sunooo
@manojkumarmahalik5086
@manojkumarmahalik5086 2 года назад
Thank u 🙏🙏
@kartikjain9
@kartikjain9 4 года назад
Nice viode
@pritivishwakarma1367
@pritivishwakarma1367 4 года назад
Thanks a lot for clearing all the doubts
@Sanara_Singh
@Sanara_Singh 2 месяца назад
If yuh are below or in class 10 then yuh won't get few questions of combination. Like for question 6... Since there are total 7 balls and we have to choose 3 balls out of 'em, so the total outcome will be 7^C3 means 7*6*5/3*2*1 = 35. Yuh gotta multiply the superscript in reverse order to three numbers, since subscript has 3 mentioned, and divide it by the product of reversing 3 to 1[thats how combination works ]
@prakashroy7172
@prakashroy7172 6 месяцев назад
SUPERB
@shaltrendzz7986
@shaltrendzz7986 2 года назад
Sir u not explain the formula .so .I unable to understand ..its not hepl me .
@sourav_-_7038
@sourav_-_7038 3 года назад
god video
@mskgaming9194
@mskgaming9194 2 года назад
Thanks
@lets_seekthetruth
@lets_seekthetruth 2 года назад
Very nice questions. Solution: nCr =n!/n!-r! Example: Q5) nCr = 7c5 = 7!/7!-5! Trick: nCn-r = 7c7-5 => 7c3 = 7×6×5/ 3×2×1 = 120/6 => 35 Tip: 7×6×5 (because only upto 3 terms are written in denominator 7 C 3)
@Moon-ve4ry
@Moon-ve4ry Год назад
thank you sm you cleared my only doubt in pnc
@iamdeepaksasmal
@iamdeepaksasmal 2 года назад
brought 20 golf shirts to a tournament. Suppose that he brought 5 of these shirts are white, 2 of these shirts are black and the rest are salmon. He gets dressed hastily so that he just grabs the first shirt he can get his hands on. What is the probability that he will be dressed in a salmon shirt on the first two days of the tournament?
@Sanara_Singh
@Sanara_Singh 2 месяца назад
13/20=0.65
@khansama5048
@khansama5048 Год назад
on question 9 how is 495 coming
@nikit935
@nikit935 6 лет назад
i have some doubts on dice problems should i post those
@Sanara_Singh
@Sanara_Singh 2 месяца назад
Yups!
@NikhilNagarShorts
@NikhilNagarShorts 3 месяца назад
Before board exam 😅
@barikhan6157
@barikhan6157 2 года назад
The sample space S Contains
@user-md8nj2tc8g
@user-md8nj2tc8g 7 дней назад
bhai vo 35 kese aara h kuch smj nhi aara , bta master ?
@nishunishu3321
@nishunishu3321 Год назад
Am microbiology students
@ShaguftaMuqeemUddin
@ShaguftaMuqeemUddin Месяц назад
Sir plz aur videos upload kijiye aptitude ke
@sonamjaiswal8587
@sonamjaiswal8587 3 года назад
I want to know that, how u solve on 6 question 7c3 = 35.. want to know the method of calculating this
@ayaulymsehun7934
@ayaulymsehun7934 3 года назад
There, *C* means *COMBINATION*. So, to solve it we use the combination method. 7C3= 7! / (7-3)! × 3!= 35 I hope you understand my unclear explanation. If dont, just search "COMBINATION PROBLEMS" in youtube
@kalandarcreation1397
@kalandarcreation1397 2 года назад
Thank you
@abdulislam2507
@abdulislam2507 4 года назад
It was so helpful 😊 waiting for more videos 😇
@amybarthwick4975
@amybarthwick4975 3 года назад
You're literally just throwing in formulas and rules without even explained why you chose it. You made it worse bro.
@GelectiousDroid
@GelectiousDroid Год назад
Yes He just solved partially explaining
@zeex10rgaming54
@zeex10rgaming54 Год назад
Permutation padhke aao samjh me aa jaega
@ajedits9188
@ajedits9188 Год назад
Bhai exam me ek din phle book uthayega toh yese sikhna padta hai atleast sir sare Q's cover kr rhe hai, basic toh tumko pata hie hona chahiye
@KhanBoy-qg4tu
@KhanBoy-qg4tu 5 лет назад
clear concept video
@suprbhakumari7919
@suprbhakumari7919 3 года назад
When you are selecting either red or blue ball....and in jar you already have only blue and red...then selecting any three will always give you either red or blue...then how prob is 1/7.....it should be 1 always
@artbyakankshakolhe9413
@artbyakankshakolhe9413 3 года назад
How 7e3 is 35
@astudent14
@astudent14 3 года назад
The question is all red or blue. If you consider a combination where some are red and some are blue, the probability won't be 1.
@artbyakankshakolhe9413
@artbyakankshakolhe9413 3 года назад
@@astudent14 ok thanku 👍
@user-fo5qo9ir1j
@user-fo5qo9ir1j 3 года назад
3.51 explain karo koi. 2 cube kaise agaya? 3 square kyun nahi?
@Sanara_Singh
@Sanara_Singh 2 месяца назад
Because one coin has total 2 outcomes. When yuh know the total outcome of a sample point and yuh got few more same points then yuh gotta multiply their outcomes. So here yuh'll have to multiply as 2*2*2, which is ultimately 2³.
@user-pe6yl2kz8i
@user-pe6yl2kz8i Год назад
6 friends are eating lunch in hotel after finish the lunch they want pay bill 800 how much each person paid the amount
@akashmondal6949
@akashmondal6949 6 лет назад
rules of probability me A ka pass kaarne probability 1/2 hoga, as the possible cases are pass and fail.
@StartUpStudy
@StartUpStudy 6 лет назад
maine kaha 4 me se A ka pass hone ka probability.... not only A ka pass kaarne ka probability
@zartashainayat5996
@zartashainayat5996 Год назад
Hey can you please explain Q6 again? I’m confused how total prob of outcome or n(S) = 35
@bilalahmed519
@bilalahmed519 Год назад
See there are 7 balls in total ( 3 blue and 4 red balls ) and you have to select any 3 balls at random so it would be 7C3 that is 35 , Hope you get my point. Your Kind Regards, Prof. Bilal Ahmed
@Moon-ve4ry
@Moon-ve4ry Год назад
@@bilalahmed519 but how is 7c3=35 sir?
@tordiror7457
@tordiror7457 Год назад
​@@Moon-ve4ryye combination ka question hai solved by formula n!/r!(n-r)! Now 7c3 is 7!/3!(4!)
@natashamustafa5112
@natashamustafa5112 2 года назад
Sir thora smjha bhi dya kren koi mere jesa nalaiq bhi hota hai!!
@malikturki7518
@malikturki7518 3 года назад
i really wished this was in english
@barikhan6157
@barikhan6157 2 года назад
An employer wishes to hire three people from a gruop of 15 applicants. 8 men 7 women ,all of whom are equllay qualified to fill the position . If he selects the three at random, what is the probabiliy that (1) all three will be men , (2) at least one will be a woman ?
@Sanara_Singh
@Sanara_Singh 2 месяца назад
1)8/65=0.123 2] 84/91=0.923
@Malikff00021
@Malikff00021 2 года назад
sir explanation the concept first and formulae
@nishakhan3017
@nishakhan3017 4 года назад
Sir kuch +. Hoty he kuch multiply or nCr or nPr ka kasy puta chulta he
@khanasif1654
@khanasif1654 3 года назад
Additon or multiplication principle se
@artrader74x
@artrader74x 4 года назад
Thanks sir.....
@geostudy6075
@geostudy6075 2 года назад
In the question ten how the 10 is come?
@sweela1
@sweela1 2 года назад
Using formula nCr = n!/(r!(n-r)!)
@polisettyvishnu9320
@polisettyvishnu9320 4 года назад
Hey you bledy that second question how do you do that you pick either red or king how it is possible to pick both
@theabhiram1639
@theabhiram1639 3 года назад
Polisetty vishnu Rey bro bledy kadhu bloody ah/
@dudekularaffi4844
@dudekularaffi4844 2 года назад
Pora puka
@dudekularaffi4844
@dudekularaffi4844 2 года назад
Pora puka
@Sanara_Singh
@Sanara_Singh 2 месяца назад
Yuh have to choose only one but gotta find the probability that the chosen card is either red or king. There are 26 red cards in a deck of 52 cards. And they have asked if the chosen can is either red "or" a king. So we know that there are total 4 king cards. And out of these, 2 are black while 2 are red. So to get the probability of the kings since we have already included these 2 red kings in the red cards. We will only count for the 2 black kings. As probability of an event =possible outcome /total outcome Hence the resulting probability =26 red cards + 2 black king cards /52 = 28/52 = 7/13
@hasbalzoe8690
@hasbalzoe8690 2 года назад
5c3=10 kasay hota hai
@geostudy6075
@geostudy6075 2 года назад
7c3 ka value kaise 35 aya
@chachakachandu7926
@chachakachandu7926 8 месяцев назад
Sir wo niche 8 kaise aaaya 1st question
@Sanara_Singh
@Sanara_Singh 2 месяца назад
Look 1 coin has total 2 outcomes i.e. head or tail. So 3 coins will have 2*2*2=2³=8 outcomes. Probability of any event = possible outcome/total outcome So P= 3/8
@OneMinutePsychology
@OneMinutePsychology 5 лет назад
Pleae help how to find 3c2 ????
@tanishkas4241
@tanishkas4241 5 лет назад
Using formula nCr = n!/(r!(n-r)!)
@attiarauf9383
@attiarauf9383 4 года назад
Also we can find through calculator
@dataworld-information
@dataworld-information 6 месяцев назад
How 5 c3 becomes 10 pls clear
@Sanara_Singh
@Sanara_Singh 2 месяца назад
This is how combination works. I'll tell yuh the easiest way of solving combinations. For 5^C3 It can also be written as 5C2 Because it's a trick where yuh need to make the subscript as less as yuh can. if yuh think subtracting it from the superscript will give a smaller value then yuh must do it. Like here we have 5^C3 [5-3=2] so the smaller subscript will be in the form 5^C2. In combination we have to multiply the superscript in reverse order as no. of times as the value of subscript[5*4 since the subscript is 2 so multiplying twice] and divide it by the product of subscript till 1 i.e. following the same rule[2*1]. So 5*4/2*1 = 20/2= 10
@akhileshdwivedi6516
@akhileshdwivedi6516 4 года назад
3+2=5 not 3
@aishasattar5085
@aishasattar5085 3 года назад
Any one here please help me
@bhoopendraydv9800
@bhoopendraydv9800 Год назад
Sorry sir but your question No.5 Answer 9/10 wrong , correct Answer 9/20 bcz Number of sample is 20 !! ( by mistake your Find 10 )
@rinkydhar7908
@rinkydhar7908 2 года назад
Not understandable most of the explanations
@manjitkumardas1282
@manjitkumardas1282 Год назад
5C3=10 q huwa
@trendytrends3118
@trendytrends3118 2 года назад
Ku6 smjh ni arha
@trendywear1898
@trendywear1898 Год назад
Not helpful itna speed mein kyu bhag rahe ho sir . Panvel nikalna hai kya . Jo video mein ayega koi nhi samjhega
@ayushmaheshwari9399
@ayushmaheshwari9399 3 года назад
8:08 5c3 =10???
@kirangunjal1513
@kirangunjal1513 3 года назад
5c3=5 ! / 3 ! (5-3) ! nCr= n! / r ! (n-r) !
@balarambarik725
@balarambarik725 2 года назад
20 hoga
@satishkumar-rl7ch
@satishkumar-rl7ch 2 года назад
How
@krushnadeepsonu3552
@krushnadeepsonu3552 Год назад
10 hi hoga
@Kalamberahul22
@Kalamberahul22 3 месяца назад
Marathi mansa
@rubenkumard
@rubenkumard 2 года назад
Thank you sir
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