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Anna [14]
3 years ago
8

The probability that even A occurs is 5/7 and the probability that even B occurs is 2/3 are independent event's what is the prob

ability that A and B both occur
Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

The probability that A and B both occur events

P(An B)   = \frac{10}{21}=0.4761

Step-by-step explanation:

<u>Explanation</u>:-

Given data the probability that event A occurs is 5/7

P(A) = \frac{5}{7}

The probability that even B occurs is 2/3

P(B) = \frac{2}{3}

<u>Independent events:-</u>

If the occurrence of the event 'B' is not effected by the occurrence or non-occurrence of the event 'A' , then the event 'B' is said to be independent of A.

A and B are independents events P(A∩B) = P(A) P(B)

The probability that A and B both occur events

                                             P(A∩B) = P(A) P(B)

                                             P(A nB) = \frac{5}{7} X \frac{2}{3}

                                             P(An B)   = \frac{10}{21}

                                         P(An B)   = \frac{10}{21}=0.4761

                                             

<u>Conclusion:-</u>

The probability that A and B both occur events

P(An B)   = \frac{10}{21}=0.4761

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