Question

you are dealt one card from a 52 - card deck. find the probability that you are not dealt a queen.
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: Calculate the number of non - queen cards

A standard deck has 52 cards. There are 4 queens. So the number of non - queen cards is \(52 - 4=48\).

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (non - queen cards) is 48 and the total number of outcomes is 52. So \(P=\frac{48}{52}\).

Step3: Simplify the fraction

Simplify \(\frac{48}{52}\) by dividing both the numerator and the denominator by 4. \(\frac{48\div4}{52\div4}=\frac{12}{13}\).

Answer:

\(\frac{12}{13}\)