if two events are independent, the probability of both events occurring is the product of their individual…

if two events are independent, the probability of both events occurring is the product of their individual probability. events a and b are independent with (p(a)=0.3) and (p(b)=0.25). what is the probability of events a and b happening at the same time? write your answer in decimal form. (1 point)

if two events are independent, the probability of both events occurring is the product of their individual probability. events a and b are independent with (p(a)=0.3) and (p(b)=0.25). what is the probability of events a and b happening at the same time? write your answer in decimal form. (1 point)

Answer

Explanation:

Step1: Identify the formula

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

Step2: Substitute the given values

$P(A) = 0.3$ and $P(B)=0.25$, so $P(A\cap B)=0.3\times0.25$.

Step3: Calculate the result

$0.3\times0.25 = 0.075$.

Answer:

$0.075$