Question

you are dealt one card from a 52-card deck. find the probability that you are not dealt a nine. 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: Count total cards

Total cards = 52

Step2: Count nines in deck

Number of nines = 4 (one per suit)

Step3: Calculate non-nine cards

Non-nine cards = 52 - 4 = 48

Step4: Compute probability

Probability = $\frac{\text{Non-nine cards}}{\text{Total cards}} = \frac{48}{52}$

Step5: Simplify fraction

$\frac{48}{52} = \frac{12}{13}$ (divide numerator/denominator by 4)

Answer:

$\frac{12}{13}$