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:
[tex]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}[/tex]
So, the probability of A given B is 3/4 ..
