Multiple Choice
For two mutually exclusive events A and B, compute if and
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13. Counting & Probability
'Or' Probabilities (Addition Rule)
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
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 has 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 there are 4 + 4 = 8 favorable outcomes.
Determine the total number of possible outcomes, which is the total number of cards in the deck: 52.
Use the probability formula: Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
Substitute the values into the formula: Probability = 8 / 52. Simplify the fraction to find the probability of selecting an ace or a king.