Problem

Determine the probability of selecting a 9 from the hand of cards shown. Enter your answer as a decimal. Round to the nearest hundredth if necessary.
\[
6,7, Q, 9, K
\]
The probability of selecting a 9 from the given hand of cards is

Answer

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Answer

Final Answer: The probability of selecting a 9 from the given hand of cards is \(\boxed{0.2}\).

Steps

Step 1 :The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is selecting a 9, and there is only one 9 in the hand. The total number of outcomes is the total number of cards in the hand, which is 5. So, the probability is \(\frac{1}{5}\).

Step 2 :favorable_outcomes = 1

Step 3 :total_outcomes = 5

Step 4 :probability = \(\frac{favorable\_outcomes}{total\_outcomes}\)

Step 5 :probability = \(\frac{1}{5}\)

Step 6 :Final Answer: The probability of selecting a 9 from the given hand of cards is \(\boxed{0.2}\).

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