Given the data below, determine the probability that a person randomly selected from Group 1 will be wearing jeans.
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21. Combinatorics and Probability
Probability
Multiple Choice
If a single card is randomly selected from a deck of cards, what is the probability of selecting an ace or a king?
A
0.0059
B
0.077
C
0.15
D
0.85
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Verified step by step guidance1
Understand that a standard deck of cards has 52 cards, consisting of 4 suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, including one ace and one king.
Identify the total number of favorable outcomes. There are 4 aces and 4 kings in the deck, so the total number of favorable outcomes is 4 (aces) + 4 (kings) = 8.
Calculate the probability of selecting an ace or a king by dividing the number of favorable outcomes by the total number of possible outcomes. The formula for probability is: \( P(A \text{ or } K) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).
Substitute the known values into the probability formula: \( P(A \text{ or } K) = \frac{8}{52} \).
Simplify the fraction \( \frac{8}{52} \) to its simplest form to find the probability of selecting an ace or a king.
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