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you are dealt one card from a standard 52-card deck. find the probabili…

Question

you are dealt one card from a standard 52-card deck. find the probability of being dealt the ace of diamonds. click the icon to view a description of a standard deck of playing cards. the probability of being dealt the ace of diamonds is \boxed{}. (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

There is only 1 ace of diamonds in a standard 52 - card deck. So, the number of favorable outcomes \(n(F)=1\).

Step2: Determine the total number of possible outcomes

The total number of cards in the deck is 52. So, the total number of possible outcomes \(n(T) = 52\).

Step3: Use the probability formula

The probability formula is \(P=\frac{n(F)}{n(T)}\). Substituting the values, we get \(P=\frac{1}{52}\).

Answer:

\(\frac{1}{52}\)