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If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is
- a)0.06
- b)0.5
- c)0.44
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If the probability for A to fail in an examination is 0.2 and that for...
Probability of A failing = 0.2
Probability of B failing = 0.3
To find the probability of either A failing or B failing, we need to use the formula for the union of two events:
P(A U B) = P(A) + P(B) - P(A ∩ B)
where P(A U B) is the probability of either A or B occurring, P(A) and P(B) are the probabilities of A and B occurring individually, and P(A ∩ B) is the probability of both A and B occurring.
Applying this formula, we get:
P(A U B) = 0.2 + 0.3 - (0.2 x 0.3)
P(A U B) = 0.5 - 0.06
P(A U B) = 0.44
Therefore, the probability of either A failing or B failing is 0.44 or 44%. Hence, the correct option is C.
Probability of B failing = 0.3
To find the probability of either A failing or B failing, we need to use the formula for the union of two events:
P(A U B) = P(A) + P(B) - P(A ∩ B)
where P(A U B) is the probability of either A or B occurring, P(A) and P(B) are the probabilities of A and B occurring individually, and P(A ∩ B) is the probability of both A and B occurring.
Applying this formula, we get:
P(A U B) = 0.2 + 0.3 - (0.2 x 0.3)
P(A U B) = 0.5 - 0.06
P(A U B) = 0.44
Therefore, the probability of either A failing or B failing is 0.44 or 44%. Hence, the correct option is C.
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If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails isa)0.06b)0.5c)0.44d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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