Question

What is the probabilty of drawing a diamond from a standard deck of cards on a second draw, give that a diamond was drawn on the first draw and not replaced?

12/51
1/52
1/52
13/52

Answer 1

Answer: 12/51 (choice A)

===========================================================

Step-by-step explanation:

"Given that a diamond was drawn on the first draw and not replaced" means we know 100% that there are P = 13 - 1 = 12 diamonds left out of Q = 52-1 = 51 cards overall.

The probability of picking another diamond card is therefore P/Q = 12/51

This only works if the card is not replaced. If the card is replaced, then the probability would be 13/52 = 1/4.