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Chapter 11: Problem 4

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club.

Short Answer

Expert verified
The probability of not being dealt a club is \( \frac{39}{52} \).

Step by step solution

01

Determine the total number of outcomes favoring the event

From a standard deck, the number of cards in each suit is 13. Thus, the number of cards that are not clubs equals the total number of cards in the deck (52) minus the number of clubs (13). This gives us \(52 - 13 = 39\) cards that are not clubs.
02

Compute the Probability

The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. In this case, the total number of outcomes is the number of cards in the deck (52), and the number of favorable outcomes is the number of cards that are not clubs (39). Thus, the desired probability is \(P(not Club) = \frac{39}{52}\).

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