If P(A) = 0.4, P(B) = 0.7 and A and B are independent, what is P(A ∩ B)?
Answer and explanation
Correct answer: 0.28
For independent events, the governing multiplication rule is P(A ∩ B) = P(A)P(B). Substituting the given values gives 0.4 × 0.7 = 0.28, so option B is correct. The values 0.40 and 0.70 represent the separate probabilities of A and B, not their intersection. The value 0.11 has no basis in the stated rule.
Frequently asked questions
What is the correct answer to this question?
0.28
Why is this the correct answer?
For independent events, the governing multiplication rule is P(A ∩ B) = P(A)P(B). Substituting the given values gives 0.4 × 0.7 = 0.28, so option B is correct. The values 0.40 and 0.70 represent the separate probabilities of A and B, not their intersection. The value 0.11 has no basis in the stated rule.
Which subject and chapter does this question cover?
This is a Class 12 Home Science question. Chapter: Food Processing and Technology. Topic: Preparing for career.
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