Question

Hello brainleist users
Solve this.

If p(a ) = 1/3
p(b) = 1/5
p(a u b) = 11/30
Then find p(a/b)

Answer 1

$\textbf{Hey there}$!


$\textbf{Solution}$:
$<b>$


Here P(A) = 1/3


P(B) = 1/5


P(A U B) = 11/30


To find P(A/B) we have to find P(A ∩ B)


Because the formulla of P(A/B):

= P(A ∩ B)/P(B)......(1)


So,


P(A ∩ B ) = P(A) . P(B)


= 1/15

Using Equation (1).


P(A/B) = $\frac{ \textbf{1/15}}{ \textbf{1/ 5} }$


= $\textbf{1/3}$.



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