Question

A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places.
P(A) = 0.76. P(A and B) = 0.72, find P(B)
P(B)=​

Answer 1

The probability of event B is P(B) = 0.9474 rounded to 4 decimal places

Step-by-step explanation:

Let us revise the meaning of independent probability

• Two events are independent if the result of the second event is not  affected by the result of the first event

• If A and B are independent events, the probability of both events  is the product of the probabilities of the both events

• P (A and B) = P(A) · P(B)

∵ A and B are independent events

∴ P (A and B) = P(A) · P(B)

∵ P(A) = 0.76

∵ P(A and B) = 0.72

- Substitute these values in the rule above

∴ 0.72 = 0.76 . P(B)

- Divide both sides by 0.76

∴ P(B) = 0.9474

The probability of event B is P(B) = 0.9474 rounded to 4 decimal places

Learn more:

You can learn more about Probability in brainly.com/question/9723881

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