Question

There are 2,598,960 possible 5-card hands that can be dealt from an ordinary 52-card deck. In a 5-card hand of poker, a flush is a hand where all 5 cards are of the same suit. Assuming a well-shuffled deck of cards and a random deal, what is the probability of being dealt a flush

Answer 1

The answer is "0.0019808"

Explanation:

`\to \text{P(deall a flush) =P(select one of 4 suits and then select 5 out of 13 cards from this suit)}`

`=(4\ C_1)* ((13\ C_5))/((52\ C_5)) \\\\=4* (1287)/(2598960)\\\\=0.0019808`