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