Question

A flush is when you have 5 cards of the same suit. (There are four suits -- clubs, diamonds, hearts, and spades in a standard deck of 52 playing cards.) What is the probability of drawing 5 cards from a standard deck of cards and getting a flush? A) 1 256 B) 1 1024 C) 33 16,660 D) 33 66,640

Answer 1

33/66640=0.0004952

Explanation:

A flush is when you have 5 cards of the same suit.

There are 13 cards of each suit and total 52 cards

probability of drawing first card=13/52

probability of drawing second card=12/51

probability of drawing third card=11/50

probability of drawing fourth card=10/49

probability of drawing fifth card=9/48

Hence, total probability=

(13×12×11×10×9)/(52×51×50×49×48)

= 33/66640

=0.0004952

i.e. option D

Answer 2

1st card = 13/52
2nd card = 12/51
3rd card = 11/50
4th card = 10/49
5th card = 9/48

13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 33/66640

there are 4 different suits so 4 * 33/66640 = 33/16660
answer is C