two events, a and b, are independent. if p(a) = 0.3 and p(b) = 0.2, what is p(a and b)?

Explanation:

Step1: Recall formula for independent events

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

Step2: Substitute given values

Substitute $P(A) = 0.3$ and $P(B)=0.2$ into the formula: $P(A\cap B)=0.3\times0.2$.

Step3: Calculate the result

$0.3\times0.2 = 0.06$.

Answer:

$0.06$