A single card is drawn from an ordinary 52-card deck. Find the probability of getting a diamond or
A 10.
A)1/26
B)1/52
C)4/13
D)1/13

Question

Quizplus · Accepted Answer

There are 13 diamonds in the deck and 4 tens (10 of diamonds, clubs, hearts, and spades). However, one of the tens is already counted as a diamond, so we must subtract it from the total. Therefore, there are 16 cards that qualify (13 diamonds plus 3 tens that are not diamonds). The total number of cards in the deck is 52. Therefore, the probability of drawing a diamond or a 10 is 16/52, which reduces to 4/13. There are 13 diamonds and 4 10's in the deck, but we need to subtract the one 10 of diamonds to avoid counting it twice. Therefore, there are 16 cards that satisfy the condition. 
So, the probability of getting a diamond or a 10 is 16/52 = 4/13.

A Single Card Is Drawn from an Ordinary 52-Card Deck