you are dealt one card from a standard 52 - card deck. find the probability of being dealt a six.\nthe…

Explanation:

Step1: Determine favorable outcomes

There are 4 six - cards in a deck (6 of hearts, 6 of diamonds, 6 of clubs, 6 of spades), so the number of favorable outcomes $n(A)=4$.

Step2: Determine total outcomes

A standard deck has 52 cards, so the total number of outcomes $n(S) = 52$.

Step3: Calculate probability

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

Answer:

$\frac{1}{13}$