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Probability - Hitting a Bull's-Eye

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The Northside Rifle team has two markspersons, Dick and Sally. Dick hits the bull's-eye 90% of the time, and Sally hits the bull's-eye 95% of the time.

a. What is the probability that either Dick or Sally or both will hit the bull's-eye if each takes one shot?

b. What is the probability that Dick and Sally will both hit the bull's-eye?

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Solution Summary

This solution uses detailed explanations and calculations to determine the probability of hitting in a bull's-eye in each of the conditions.

Solution Preview

First, let's express the probabilities in decimal form instead of percentages. Dick hits the bull's-eye 90% of the time (90/100 = 0.90), and Sally hits the bull's-eye 95% of the time (95/100 = 0/95).

Now, let's solve b first, then a.

b. What is the probability that Dick and Sally will both hit the bull's-eye?

To solve an "and" statement, ...

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