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The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?

Enter a number to the nearest hundredth.

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shacker4167

Answer:

Approximately 0.51

Step-by-step explanation:

If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.

We're given the following

     P(A) = 0.65

     P(A and B) = 0.33

So,

P(A and B) = P(A)*P(B)

0.33 = 0.65*P(B)

P(B) = 0.33/0.65

P(B) = 0.5076923076923

which is approximate. When we round to 2 decimal places, we get 0.51

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