According to the general equation for conditional probability, if P(A n B) = 3/10 and P(B)= 2/5 what is p(alb)

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

Answer:

P(A given B) = 3/4

Step-by-step explanation:

As we know that it is conditional probability, where the probability of an event depends on the event that has certain probability of occurrence.

The formula for conditional probability is:

P(A given B) = P(A ∩B) / P(B)

Where a and B are events. The probability of event B is known and we also know probability of A∩B

So, putting the values in the formula:

$P(A\ given\ B) = \frac{P(A and B)}{P(B)}\\= \frac{\frac{3}{10} }{\frac{2}{5} } \\=\frac{3}{10} *\frac{5}{2}\\=\frac{3}{4}$

So, the probability of A given B is 3/4 ..

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