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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 a diamond. click the icon to view a description of a standard deck of playing cards. the probability of being dealt a diamond is \boxed{}. (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

A standard deck has 13 diamonds. So, the number of favorable outcomes \( n(F)=13 \).

Step2: Determine the total number of outcomes

A standard deck has 52 cards. So, the total number of outcomes \( n(T) = 52 \).

Step3: Calculate the probability

The probability formula is \( P=\frac{n(F)}{n(T)} \). Substituting the values, we get \( P=\frac{13}{52}=\frac{1}{4} \).

Answer:

\(\frac{1}{4}\)