b Find the probability that your hand is a pair of queens Ho

(b) \"Find the probability that your hand is a pair of queens.\"

How do you account for the probabilty that the order might be x Q Q y z, x y Q Q z, x y z Q Q, y x z Q Q, z x y QQ, etc? What would be the correct answer for this question?

and

part (e) Find an approximate value for the probability in the previous part.

How do you approximate such a large number? 400!/(250!*150!)p^150(1-p)^250 is a lot of calculation. Do you have to do it on a calculator? If so, what would be the final answer for this part using the value of p that you obtained in the previous parts.

Solution

(e)The exact formula is:

400C150*p^150*(1-p)^250

=5.71e+262*p^150*(1-p)^250