Question

Diego is at the batting cage where they are currently offering batting cage customers their choice of The Slow

Ball Challenge or The Fast Ball Challenge.
The Slow Ball Challenge: There will be 10 pitches, each at 60 mph. Diego estimates that he will hit each
individual pitch 95% of the time. If Diego can hit all 10 pitches, he will win a total of $25; otherwise he will lose
$5.
The Fast Ball Challenge: There will be 3 pitches, each at 90 mph. Diego estimates that he will hit each
individual pitch 60% of the time. If Diego can hit all 3 pitches, he will win a total of $60; otherwise he will lose
$10.
What are Diego's expected winnings from playing The Slow Ball Challenge? Round your answer to the nearest
dollar. $
What are Diego's expected winnings from playing The Fast Ball Challenge? Round your answer to the nearest
dollar. $
The batting cage is allowing customers to participate in their choice of either The Slow Ball Challenge or The Fast
Ball Challenge a total of 10 times.
If Diego wants to maximize his expected winnings, what should he do?

Answer 1

The expected winnings from The Slow Ball Challenge rounded to the nearest dollar are $13

The expected winnings from The Fast Ball Challenge rounded to the nearest dollar are $5

Since The Slow Ball Challenge has higher expected winnings, Diego should play The Slow Ball Challenge all 10 times.

Explanation:

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