probability doubts

i dunt know why i am getting wrong answer for so easy question so i will post my answetr and the co0rrect answer also

7 cards are drawn at random from a pack of 52 cards what is probability that 3 red 4 black
answer 325 /39151
my answer 26C3 .26C4 / 52C7 numerically bhi alag aate hai [2]

the followin question i had a doubt
so please solve them

A and B throw alternatevely with a pair of dice . A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A 6 find the chances of winning if A makes the first throw
also find the chance that B will win .

7 Answers

1
ankit mahapatra ·

7? Is that the sum of pair of dices?

1
spiderman ·

ya

13
Двҥїяuρ now in medical c ·

7 cards are drawn at random from a pack of 52 cards what is probability that 3 red 4 black P(A)=\frac{26}{52}\frac{25}{51}\frac{24}{50}\frac{26}{49}\frac{25}{48}\frac{24}{47}\frac{23}{46}=\frac{325}{39151}

62
Lokesh Verma ·

spider..

you have to multiply the answer you are geting by 7! also..

You have just chosen them..

I think you have not taken the order into consideration.

13
Двҥїяuρ now in medical c ·

A and B throw alternatevely with a pair of dice . A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A 6 find the chances of winning if A makes the first throw

Probability of winning of A=5/36+31/36*5/6*5/36+31/36*5/6*31/36*5/6*5/36+.........∞

1
spiderman ·

sir multiply by 7 factorial?? 52C7 ke alaawa? [7]

62
Lokesh Verma ·

A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A 6 find the chances of winning if A makes the first throw

Another way by reccursion.. see if you understand
p- probability that A throws 6 = 5/36
q - probabilty that B throws 7 = 6/36

P(A)= p+(1-p)(1-q)P(A)

P(A)= 5/36+31x5/216P(A)
P(A)= 5/36+155/216P(A)

61/216 P(A)= 5/36

P(A)= 30/61

P(B)=31/61

IS this proof obvious? And have i made any calculation mistakes.. pls check

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