The probability that a student will pass in French is 0.64, will pass

1.	The probability that a student will pass in French is 0.64, will pass in Sociology is 0.45 and will pass in both is 0.40. What is the probability that the student will pass in at least one of the two subjects?
Answer» Let event A: The student will pass in French. ∴ P(A) = 0.64 Let event B: The student will pass in Sociology. ∴ P(B) = 0.45 Also, P(A ∩ B) = 0.40 ∴ Required probability P(A ∪ B) = P(A) + P(B) – P(A ∩ B) = 0.64 + 0.45 – 0.40 = 0.69

The probability that a student will pass in French is 0.64, will pass in Sociology is 0.45 and will pass in both is 0.40. What is the probability that the student will pass in at least one of the two subjects?

Answer»

Let event A: The student will pass in French.

∴ P(A) = 0.64

Let event B: The student will pass in Sociology.

∴ P(B) = 0.45

Also, P(A ∩ B) = 0.40

∴ Required probability

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

= 0.64 + 0.45 – 0.40

= 0.69

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The probability that a student will pass in French is 0.64, will pass in Sociology is 0.45 and will pass in both is 0.40. What is the probability that the student will pass in at least one of the two subjects?

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