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CaHeK987 [17]
3 years ago
15

Two events, A and B, are independent of each other. P(A)=– and P(A and B)

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

D: 0.75

P(B) = \frac{6}{8} = 0.75

Step-by-step explanation:

<u>Explanation</u>:-

<u><em>Independent events:</em></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'

or

<em>The two events are independent if the incidence of one event is not affect the probability of other event.</em>

<em>P(A∩B) = P(A) P(B)</em>

Given data A and B are independent events

Given  data

    P(AnB) = \frac{1}{8} and P(A) =\frac{1}{6}

we know that A and B are independent events are

  P(A∩B) = P(A) P(B)

  \frac{1}{8} =  \frac{1}{6}  P(B)

Now calculation we get

P(B) = \frac{6}{8} = 0.75

<u><em>Final answer:</em></u>-

P(B) = \frac{6}{8} = 0.75

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