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Taya2010 [7]
3 years ago
8

Suppose A and B are dependent events. If P(A | B)=0.55 and P(B)=0.4, what is P(AnB)?

Mathematics
2 answers:
ozzi3 years ago
6 0

Answer: The value of P(A∩B) = 0.22.

Step-by-step explanation:

Since we have given that

P(A | B)=0.55

P(B)=0.4

and A and B are dependent events.

And we know the rule for "Conditional probability":

So,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}\\\\0.55=\dfrac{P(A\mid B)}{0.4}\\\\0.55\times 0.4=P(A\cap B)\\\\0.22=P(A\cap B)

Hence, the value of P(A∩B) = 0.22.

Lilit [14]3 years ago
5 0
For Apex it is 0.22
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