Question

you are given a standard 52 card deck . you draw three cards without replacement . what is the probability you will draw all three spades

Answer 1

3 of 52 should be the right answer

Answer 2

there are 13 spades in a deck

1st card would be 13/52 probability of a spade
2nd card would be 12/51
3rd card would be 11/50

to find total probability, multiply all 3 together:

13/52 * 12/51 * 11/50 = 1716 / 132600

divide both sides by 156 to reduce the fraction to 11/850 probability