Question

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a diamond? (Your answer must be in the form of a reduced fraction.)

Answer 1

Answer:

$P = \frac{3}{4}$

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. Mathematically, this is

$P = \frac{D}{T}$

In this problem, we have that:

Desired outcomes:

There are 52 cards, of which 13 are diamonds.

We want non diamond cards, so $D = 52-13 = 39$

Total outcomes:

Deck of 52 cards, so $T = 52$

Probability

$P = \frac{D}{T} = \frac{39}{52} = \frac{3*13}{4*13} = \frac{3}{4}$