For the following, suppose you are playing 5 card draw (so you have a hand of 5 cards) with a standard deck of 52 cards with 13 of each suit (Hearts, Spades, Diamonds, Clubs). (a) How many hands are there with 2 Clubs and 3 Spades? (b) How many hands are there with exactly 2 suits? (c) How many flushes are there (five of same suit) with no even cards (no 2,4,6,8,10)? (d) How many straights are there that begin with an even card (so the even is the lowest) but are not straight flushes?   Please please answer all subparts with explanation. I will really upvote. Thanks

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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For the following, suppose you are playing 5 card draw (so you have a hand of 5 cards) with
a standard deck of 52 cards with 13 of each suit (Hearts, Spades, Diamonds, Clubs).
(a) How many hands are there with 2 Clubs and 3 Spades?
(b) How many hands are there with exactly 2 suits?
(c) How many flushes are there (five of same suit) with no even cards (no 2,4,6,8,10)?
(d) How many straights are there that begin with an even card (so the even is the lowest)
but are not straight flushes?

 

Please please answer all subparts with explanation.

I will really upvote. Thanks

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