Please solved all 5 parts of this question However I am part

Please solved all 5 parts of this question. However, I am particularly confused about part

(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.

2. Recall that a poker hand consists of 5 cards chosen randomly from a standard 52 card deck . (a) (3 points) Find the probability that you are dealt a poker hand with precisely 2 queens. (b) (3 points) Find the probability that your hand is a pair of queens , ie. that (reordering if needed) your hand looks like (Q, Q, T, Y, 2) where Q is queen and the values Q, ar, Y, Z are distinct. (Hint: start by conditioning on the event in the previous part .) (c) (2 points) Find the chance that \"your hand is a pair\", ie, that (reordering if needed) your hand looks like (r, E, 1, 2, w) where the values 1, 1, 2, W are distinct. (Hint: you should get a result a little over 42%) (d) (3 points) Write an exact formula (in terms of some binomial distribution) for the probability that \"you get your 150th “one pair on or after the 400th deal (Note: For convenience, in this part you can just write p for the probability of a pair\" rather than using a numerical value) (e) (83 points) Find an approximate value for the probability in the previous part.

Solution

solving it.

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