you are dealt one card from a 52 - card deck. find the probability that you are not dealt a diamond.\nthe…

you are dealt one card from a 52 - card deck. find the probability that you are not dealt a diamond.\nthe probability is . (type an integer or a fraction. simplify your answer.)

you are dealt one card from a 52 - card deck. find the probability that you are not dealt a diamond.\nthe probability is . (type an integer or a fraction. simplify your answer.)

Answer

Explanation:

Step1: Determine number of diamonds

A standard 52 - card deck has 13 diamonds.

Step2: Determine number of non - diamonds

There are $52 - 13=39$ non - diamonds.

Step3: Calculate probability

The probability $P$ of not getting a diamond when dealt one card is the number of non - diamonds divided by the total number of cards. So $P=\frac{39}{52}$.

Step4: Simplify the fraction

$\frac{39}{52}=\frac{3}{4}$ (divide both numerator and denominator by 13).

Answer:

$\frac{3}{4}$