Question

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]

Answer #1

1) Assume you have applied for two scholarships, a Merit
scholarship (M) and an Athletic scholarship (A). The probability
that you receive an Athletic scholarship is 0.18. The probability
of receiving both scholarships is 0.11. The probability of getting
at least one of the scholarships is 0.3
What is the probability that you will receive a Merit
Scholarship?
2) Assume you have applied for two scholarships, a Merit
scholarship (M) and an Athletic scholarship (A). The probability
that you receive...

Ten high school students, 6 girls and 4 boys, have applied for 5
available scholarships. In how many ways can these scholarships be
awarded among the applicants if a) No preference is given to any
one student? b) One particular student must be awarded an
assistantship? c) The group of applicants includes 6 girls and 4
boys and it is stipulated that a majority of girls must be awarded
scholarships? d) At least 2 boys are awarded?e) At most 2...

Ten high school students, 6 girls and 4 boys, have applied for 5
available scholarships. In how many ways can these scholarships be
awarded among the applicants if
d) At least 2 boys are awarded? e) At most 2 boys are awarded?
f) What is the probability that majority of girls are awarded
scholarships? d) What is the probability that at least 2 boys are
awarded scholarships? e) What is the probability that at most 2
boys are awarded scholarships?

A high school baseball player has a 0.307 batting average. (This
means that the probability that he will get a hit in any given
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Let's suppose that student A applied to two law schools (“X” and
“Y “) in 2014. (So the program starts in 2015) If she graduates
from the law school “X”, she gets payed $10000 /month but there is
a 50 % chance that she loses her job within a year. If she
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there is a 20 % chance that she loses her job within a year....

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