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2 years ago

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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

1 answer:

Crank2 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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