Question

you select a card from a standard deck. what is the probability that the card is a 7 or a king? 8/52 7/52 52/7 1/52

Explanation:

Step1: Determine the number of favorable outcomes

A standard deck has 52 cards. There are 4 sevens and 4 kings. Since the events (drawing a 7 and drawing a king) are mutually - exclusive (a card cannot be both a 7 and a king at the same time), the number of favorable outcomes \(n = 4 + 4=8\).

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(A)\) is the number of favorable outcomes and \(n(S)\) is the number of all possible outcomes. Here, \(n(S) = 52\) and \(n(A)=8\). So \(P=\frac{8}{52}\).

Answer:

\(\frac{8}{52}\) (corresponds to the first option: 8/52)