Question

s4 l3 1. calculate the missing probability. * p(a∩b)=0.24 p(a|b)=0.48 p(b)=? 0.50 0.25 35/300

Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$.

Step2: Rearrange the formula to solve for $P(B)$

We can rewrite the formula as $P(B)=\frac{P(A\cap B)}{P(A|B)}$.

Step3: Substitute given values

Given $P(A\cap B) = 0.24$ and $P(A|B)=0.48$. Substituting these values into the formula, we get $P(B)=\frac{0.24}{0.48}$.

Step4: Calculate the result

$\frac{0.24}{0.48}=0.50$.

Answer:

$0.50$