calculating the probability of independent events\ntwo events, a and b, are independent. if p(a) = 0.3 and…
calculating the probability of independent events\ntwo events, a and b, are independent. if p(a) = 0.3 and p(b) = 0.2, what is p(a and b)?
Answer
Explanation:
Step1: Recall probability formula for independent events
For independent events A and B, $P(A \text{ and } B)=P(A)\times P(B)$.
Step2: Substitute given values
Substitute $P(A) = 0.3$ and $P(B)=0.2$ into the formula: $P(A \text{ and } B)=0.3\times0.2$.
Step3: Calculate the result
$0.3\times0.2 = 0.06$.
Answer:
$0.06$