in an experiment, the probability that event a occurs is 2/9 and the probability that event b occurs is 1/2…

Answer:

$\frac{1}{9}$

Explanation:

Step1: Recall probability - formula for independent events

For independent events $A$ and $B$, $P(A\cap B)=P(A)\times P(B)$.

Step2: Substitute given probabilities

Given $P(A)=\frac{2}{9}$ and $P(B)=\frac{1}{2}$. Then $P(A\cap B)=\frac{2}{9}\times\frac{1}{2}$.

Step3: Calculate the product

$\frac{2}{9}\times\frac{1}{2}=\frac{2\times1}{9\times2}=\frac{1}{9}$.