events a and b are independent. p(a) = 0.3, and p(b) = 0.24. what is p(a and b)? write your answer as a…
events a and b are independent. p(a) = 0.3, and p(b) = 0.24. what is p(a and b)? write your answer as a decimal. do not round.
Answer
Explanation:
Step1: Recall the formula for independent events
For independent events $A$ and $B$, $P(A\cap B)=P(A)\times P(B)$.
Step2: Substitute the given values
We know that $P(A) = 0.3$ and $P(B)=0.24$, so $P(A\cap B)=0.3\times0.24$.
Step3: Calculate the result
$0.3\times0.24 = 0.072$.
Answer:
$0.072$