Probability (Concept + All type of Problems)

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...
IB ACIO EXAM 2012 Solved Paper :-
• IB ACIO Grade - II GK ...
IB ACIO EXAM 2013 Solved Paper:-
• IB ACIO Grade - II ENG...
If this Video helps you Please Like, Share & SUBSCRIBE to this Channel..!!!

[@sathvik8303]

We want more of these videos makes me practice without using my hand 😂 which is a lot of time saving

[@techhow429]

this is amazing video....very educational in less time
Thanks you so much❤❤❤

[@BacchonKeCartoons]

very 2 nice lecture sir ji...all concepts r clear...in jst 1 lecture...😎

[@StartUpStudy]

Thank You!

[@nishakhan3017]

Thanks u so much respected sir 🙂

[@rishuraj1543]

No biased coin questions. Actually I was searching for them

[@MrUbercool007]

great video...Thank you!..

[@EAGLEFF.495]

Thank you so much sir 😊

[@deepanshuojha7387]

buddy you are superb 👍🏻👍🏻🥂

[@bepositiverrajawat]

thanks for clearing doubts......

[@vinayakmahendrakar2373]

Very good teaching sir

[@Akash-lc4oo]

bht accha sir 🙏

[@KeyserTheRedBeard]

cool content StartUp Study. I broke the thumbs up on your video. Continue to keep up the superior work.

[@igniousprogrammerip3536]

not explaining the formula of calculating sample space i am unable to understand anything

[@santhosh8290]

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]

Im sorry that you are still waiting since 2 years for your question to be answered

[@vivekryadavofficial]

Thanks Sir.

[@AbhishekThakur-fk7px]

Thank you so much sir.

[@pritivishwakarma1367]

Thanks a lot for clearing all the doubts

[@naageshk1256]

Thank you so much 👍👌💓

[@blackfootball3414]

Thank You Sir ✨

[@Sanara_Singh]

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 ]

[@razatkushwaha]

Great

[@shubhanusamanta5787]

Thank you sir

[@ashutoshkumarsingh6718]

Thank you

[@forensicpredator3020]

how you are writing 35 directly in question number 6 and 7 could you explain please

[@Sanara_Singh]

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 ]

[@sunilmadnani3865]

Mast 👍

[@01234567899970]

Thanks man

[@manojkumarmahalik5086]

Thank u 🙏🙏

[@neetumonga]

Wow that great sir 👍👍

[@fatehbahadursingh8826]

Sunooo

[@abdulislam2507]

It was so helpful 😊 waiting for more videos 😇

[@areejzill9180]

SO GOOD

[@mskgaming9194]

Thanks

[@barikhan6157]

The sample space S Contains

[@lets_seekthetruth]

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]

thank you sm you cleared my only doubt in pnc

[@shaltrendzz7986]

Sir u not explain the formula .so .I unable to understand ..its not hepl me .

[@akashmondal6949]

rules of probability me A ka pass kaarne probability 1/2 hoga, as the possible cases are pass and fail.

[@StartUpStudy]

maine kaha 4 me se A ka pass hone ka probability.... not only A ka pass kaarne ka probability

[@prakashroy7172]

SUPERB

[@kartikjain9]

Nice viode

[@iamdeepaksasmal]

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]

13/20=0.65

[@user-md8nj2tc8g]

bhai vo 35 kese aara h
kuch smj nhi aara , bta master ?

[@malikturki7518]

i really wished this was in english

[@Malikff00021]

sir explanation the concept first and formulae

[@ShaguftaMuqeemUddin]

Sir plz aur videos upload kijiye aptitude ke

[@amybarthwick4975]

You're literally just throwing in formulas and rules without even explained why you chose it. You made it worse bro.

[@GelectiousDroid]

Yes He just solved partially explaining

[@zeex10rgaming54]

Permutation padhke aao samjh me aa jaega

[@ajedits9188]

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

[@khansama5048]

on question 9 how is 495 coming

[@KhanBoy-qg4tu]

clear concept video

[@nishunishu3321]

Am microbiology students

[@sourav_-_7038]

god video

[@natashamustafa5112]

Sir thora smjha bhi dya kren koi mere jesa nalaiq bhi hota hai!!

[@artrader74x]

Thanks sir.....

[@nikit935]

i have some doubts on dice problems should i post those

[@Sanara_Singh]

Yups!

[@user-fo5qo9ir1j]

3.51 explain karo koi. 2 cube kaise agaya? 3 square kyun nahi?

[@Sanara_Singh]

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.

[@sonamjaiswal8587]

I want to know that, how u solve on 6 question 7c3 = 35.. want to know the method of calculating this

[@ayaulymsehun7934]

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]

Thank you

[@suprbhakumari7919]

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]

How 7e3 is 35

[@astudent14]

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]

@@astudent14 ok thanku 👍

[@user-pe6yl2kz8i]

6 friends are eating lunch in hotel after finish the lunch they want pay bill 800 how much each person paid the amount

[@zartashainayat5996]

Hey can you please explain Q6 again? I’m confused how total prob of outcome or n(S) = 35

[@bilalahmed519]

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]

@@bilalahmed519 but how is 7c3=35 sir?

[@tordiror7457]

​@@Moon-ve4ryye combination ka question hai solved by formula n!/r!(n-r)! Now 7c3 is 7!/3!(4!)

[@NikhilNagarShorts]

Before board exam 😅

[@nishakhan3017]

Sir kuch +. Hoty he kuch multiply or nCr or nPr ka kasy puta chulta he

[@khanasif1654]

Additon or multiplication principle se

[@barikhan6157]

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]

1)8/65=0.123
2] 84/91=0.923

[@geostudy6075]

In the question ten how the 10 is come?

[@sweela1]

Using formula
nCr = n!/(r!(n-r)!)

[@polisettyvishnu9320]

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]

Polisetty vishnu Rey bro bledy kadhu bloody ah/

[@dudekularaffi4844]

Pora puka

[@dudekularaffi4844]

Pora puka

[@Sanara_Singh]

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]

5c3=10 kasay hota hai

[@OneMinutePsychology]

Pleae help how to find 3c2 ????

[@tanishkas4241]

Using formula
nCr = n!/(r!(n-r)!)

[@attiarauf9383]

Also we can find through calculator

[@akhileshdwivedi6516]

3+2=5 not 3

[@bhoopendraydv9800]

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 )

[@chachakachandu7926]

Sir wo niche 8 kaise aaaya 1st question

[@Sanara_Singh]

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

[@geostudy6075]

7c3 ka value kaise 35 aya

[@dataworld-information]

How 5 c3 becomes 10 pls clear

[@Sanara_Singh]

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

[@trendywear1898]

Not helpful itna speed mein kyu bhag rahe ho sir . Panvel nikalna hai kya . Jo video mein ayega koi nhi samjhega

[@rinkydhar7908]

Not understandable most of the explanations

[@aishasattar5085]

Any one here please help me

[@manjitkumardas1282]

5C3=10 q huwa

[@ayushmaheshwari9399]

8:08 5c3 =10???

[@kirangunjal1513]

5c3=5 ! / 3 ! (5-3) !
nCr= n! / r ! (n-r) !

[@balarambarik725]

20 hoga

[@satishkumar-rl7ch]

How

[@krushnadeepsonu3552]

10 hi hoga

[@trendytrends3118]

Ku6 smjh ni arha

[@Kalamberahul22]

Marathi mansa

[@rubenkumard]

Thank you sir