Question

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

Explanation:

Step1: Calculate the number of favorable outcomes

There are 4 fours in a 52 - card deck. So the number of non - four 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 total number of outcomes is 52 (since there are 52 cards in the deck), and the number of favorable outcomes (not getting a four) is 48. So \(P(\text{not a four})=\frac{48}{52}\).

Step3: Simplify the fraction

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

Answer:

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