Question

s4 l3 2. calculate the missing probability. * p(b) = 1/2 p(a ∪ b) = 21/100 p(a|b) =? 1/5 21/50 63/200

Explanation:

Step1: Recall the formula for conditional probability

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Step2: Substitute the given values

We know that $P(B)=\frac{1}{2}$ and $P(A\cap B)=\frac{21}{100}$. Then $P(A|B)=\frac{\frac{21}{100}}{\frac{1}{2}}$.

Step3: Simplify the expression

$\frac{\frac{21}{100}}{\frac{1}{2}}=\frac{21}{100}\times2=\frac{21}{50}$

Answer:

$\frac{21}{50}$