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Alika [10]
3 years ago
12

The probability of event A occurring given that event B has already occurred is 0.61. The probability of both events occurring i

s 0.5. What is the probability of event B occurring?
Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

P(B)= 0.305

Step-by-step explanation:

Hello!

This exercise is an application of conditional probabilities.

You know that the definition of a conditional probability is:

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

And

The probability of A occuring, given that B has already ocurred is P(A/B)= 0.61

The probability of A and B ocurring at the same time is P(A∩B)= 0.5

You can clear the probability of B from the equation:

P(B)= P(A/B)*P(A∩B)= 0.61*0.5= 0.305

I hope you have a SUPER day!

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