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alexgriva [62]
3 years ago
13

If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) a. is 1.00. b. is 0.5. c. is 0.00. d. None of th

ese alternatives are correct.
Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

The answer is (d) "None of the these alternatives are correct"

Step-by-step explanation:

If two events A and B are independent, the probability of the intersection P(A\cap B) is defined as:

P(A\cap B)=P(A)\cdot P(B)

Therefore, in the exercise:

P(A\cap B)=P(A)\cdot P(B)=0.5\cdot 0.5\\P(A\cap B)=0.25

which give (d) "None of the these alternatives are correct"

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