Respuesta :
Assuming you meant to say P(A) = 2/5 and P(B|A) = 9/20, then,
P(A∩B) = P(A)*P(B|A)
P(A∩B) = (2/5)*(9/20)
P(A∩B) = (2*9)/(5*20)
P(A∩B) = (2*9)/(5*2*10)
P(A∩B) = 9/(5*10)
P(A∩B) = 9/50 is the answer
The required probability P( A ∩ B ) = 2300.
To find the missing probability. P( A ) = 25, P( B | A ) = 920, P( A∩ B) = ?
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
From properties of probability
P( A ∩ B ) / P(A) = P( B | A )
P( A ∩ B) = P( B | A ) . P(A)
From given
P( A ) = 25, P( B | A ) = 920
P( A ∩ B ) = P( B | A ) . P(A)
P( A ∩ B ) = 920 . 25
P( A ∩ B ) = 2300
Thus, the required probability P( A ∩ B ) = 2300 for P( A ) = 25, P( B | A ) = 920.
Learn more about probability here:
brainly.com/question/14290572
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