Question

events a and b are independent events. find the indicated probability.
$p(a)=0.7$
$p(b)=0.9$
$p(a\text{ and }b)=$

Explanation:

Step1: Recall the formula for independent events

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

Step2: Substitute the given values

Substitute $P(A) = 0.7$ and $P(B)=0.9$ into the formula: $P(A\ and\ B)=0.7\times0.9$.

Step3: Calculate the result

$0.7\times0.9 = 0.63$.

Answer:

$0.63$