CA Foundation Exam > CA Foundation Questions > If P(A) = 0.45, P(B) = 0.35 and P(A & B) ...
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If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?
- a)1.4
- b)1.8
- c)0.714
- d)0.556
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1....
Most Upvoted Answer
If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1....
To find P(A or B), we can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
We know that P(A) = 0.45 and P(B) = 0.35. To find P(A and B), we need to use the formula:
P(A and B) = P(A) x P(B|A)
We are not given the probability of B given A, so we cannot calculate P(A and B) directly. However, we do know that P(A and B) is less than or equal to the smaller of P(A) and P(B), since the probability of two events occurring together cannot be greater than the probability of either event occurring alone.
Therefore, we can say that:
P(A and B) ≤ min(P(A), P(B))
P(A and B) ≤ min(0.45, 0.35)
P(A and B) ≤ 0.35
Substituting this into the formula for P(A or B), we get:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.45 + 0.35 - 0.35
P(A or B) = 0.45 + 0.00
P(A or B) = 0.45
Therefore, the probability of A or B occurring is 0.45.
P(A or B) = P(A) + P(B) - P(A and B)
We know that P(A) = 0.45 and P(B) = 0.35. To find P(A and B), we need to use the formula:
P(A and B) = P(A) x P(B|A)
We are not given the probability of B given A, so we cannot calculate P(A and B) directly. However, we do know that P(A and B) is less than or equal to the smaller of P(A) and P(B), since the probability of two events occurring together cannot be greater than the probability of either event occurring alone.
Therefore, we can say that:
P(A and B) ≤ min(P(A), P(B))
P(A and B) ≤ min(0.45, 0.35)
P(A and B) ≤ 0.35
Substituting this into the formula for P(A or B), we get:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.45 + 0.35 - 0.35
P(A or B) = 0.45 + 0.00
P(A or B) = 0.45
Therefore, the probability of A or B occurring is 0.45.
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If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1....
P(A/B)=P(A^B)/P(B) =0.25/0.35=0.7142
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If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer?
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If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer?.
If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer?.
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If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If P(A) = 0.45, P(B) = 0.35 and P(A & B) = 0.25, then P(A/B)=?a)1.4b)1.8c)0.714d)0.556Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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