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

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

Answer 2

The probability of having a non-diamond card is 3/4

Data;

• Diamond Cards = 13
• Deck of Cards = 52

Probability of a Non-Diamond Card

The probability of a non-diamond card can be gotten from subtracting the number of diamond cards from the total number in a deck of cards and then proceed to solve further.

Number of Non-Diamond cards is

$52 - 13 = 39$

The probability of having a non-diamond card would be

$P = \frac{39}{52} = \frac{3}{4}$

The probability of having a non-diamond card is 3/4

Learn more on probability here;

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