Question

you are dealt one card from a 52 - card deck. find the probability that you are not dealt a club. click the icon to view a description of a standard deck of playing cards. the probability is (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: Determine number of clubs

A standard 52 - card deck has 13 clubs.

Step2: Determine number of non - clubs

The number of non - clubs is $52 - 13=39$.

Step3: Calculate probability

The probability $P$ of getting a non - club when dealt one card is the number of non - clubs divided by the total number of cards. So $P=\frac{39}{52}$.

Step4: Simplify the fraction

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

Answer:

$\frac{3}{4}$