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

Answer:

The answer is "0.0019808"

Step-by-step explanation:

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

$=(4\ C_1)\times \frac{(13\ C_5)}{(52\ C_5)} \\\\=4\times \frac{1287}{2598960}\\\\=0.0019808$