Question

score: 15/42 answered: 15/33 question 16 4.3 conditional probability. multiplication rule. if p(a) = 0.3, p(b) = 0.59 and a and b are independent, whats the p(a and b)? p(a and b) = 2 decimals question help: video read message instructor

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

Given $P(A) = 0.3$ and $P(B)=0.59$, then $P(A\ and\ B)=0.3\times0.59$.

Step3: Calculate the result

$0.3\times0.59 = 0.177$. Rounding to 2 decimals, we get $0.18$.

Answer:

$0.18$