One card is randomly selected from a standard deck of 52 cards. What is the probability of randomly selecting a(n) Queen or 7? Enter your answer as a reduced fraction.
Question
One card is randomly selected from a standard deck of 52 cards. What is the probability of randomly selecting a(n) Queen or 7? Enter your answer as a reduced fraction.
Solution
Step 1: Identify the total number of outcomes. In a standard deck of 52 cards, there are 52 possible outcomes.
Step 2: Identify the number of favorable outcomes. There are 4 Queens and 4 sevens in a standard deck of cards, so there are 4 + 4 = 8 favorable outcomes.
Step 3: Calculate the probability. The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability of selecting a Queen or a 7 is 8/52.
Step 4: Simplify the fraction. The fraction 8/52 can be simplified to 2/13 by dividing both the numerator and the denominator by 4.
So, the probability of randomly selecting a Queen or a 7 from a standard deck of 52 cards is 2/13.
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