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?