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marusya05 [52]
2 years ago
7

PLEASE HELP Which of the following are true if event A and B are independent

Mathematics
1 answer:
makkiz [27]2 years ago
3 0

Answer:

a) P(B/A) = P(B)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

              P(A/B) = \frac{P(AnB)}{P(B)}

                     or

            P(B/A) = \frac{P(AnB)}{P(A)}<u></u>

<u> Step(ii):-</u>

Given that A and B are independent events

P(A∩B) =P(A) P(B)

 P(B/A) = \frac{P(AnB)}{P(A)}<u></u>

P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)

P(B/A) = P(B)

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