Question

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

Explanation:

Step1: Determine the number of favorable outcomes

In a standard 52 - card deck, there are 4 threes (one for each suit: hearts, diamonds, clubs, spades). So, the number of favorable outcomes \( n(F)=4 \).

Step2: Determine the total number of outcomes

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

Step3: Use the probability formula

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

Step4: Simplify the fraction

Divide both the numerator and the denominator by 4. \( \frac{4\div4}{52\div4}=\frac{1}{13} \).

Answer:

\(\frac{1}{13}\)