Assume you have applied for two Scholarships, a merit scholarship And is athletic scholarship the probability that you receive a

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Assume you have applied for two Scholarships, a merit scholarship And is athletic scholarship the probability that you receive a

n athletic scholarship is 0.8. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3

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1 answer:

Sliva [168] · Answer 1 · 2022-12-06T18:50:15+03:00

The probability of receiving a merit scholarship according to the scenario defined is 0.23

Probability of Athletic scholarship, P(M) =?
Probability of Athletic Scholarship, P(A) = 0.18
Probability of receiving both, P(MnA) = 0.11
Probability of receiving atleast one P(AuM) = 0.3

Recall :

P(AuM) = P(A) + P(M) - P(AnM)

Substituting the values into the relation:

P(AuM) = P(A) + P(M) - P(AnM)

0.3 = 0.18 + P(M) - 0.11

0.3 - 0.18 + 0.11 = P(M)

P(M) = 0.23

Therefore, the probability of receiving a merit scholarship is 0.23

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