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An exceptionally bright high school student has applied for two scholarships--a merit scholarship and an athletic...

An exceptionally bright high school student has applied for two scholarships--a merit scholarship and an athletic scholarship. He estimates the following probabilities:

- the probability of getting the merit scholarship is 0.33

- the probability of getting the athletic scholarship is 0.75

- the probability of getting both scholarships is 0.10

Please round each answer to two decimal places.

(a) What is the probability that he gets at least one of these scholarships? [oneplus]

(b) What is the probability that he does not get either of these scholarships? [neither]

(c) What is the probability that he gets the athletic scholarship, but not the merit scholarship? [ath_only]

Math   Statistics-And-Probability   
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Answer #1

The problem is solved using formulae for probability. Also Venn diagrams are given for better understanding of events.

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