Question

Type the correct answer in the box. spell the word correctly. the probability of event a is 0.65, and the probability of event b is 0.76. the probability of both event a and event b occurring is 0.494. are events a and b dependent or independent? in this scenario, events a and b are events.

Answer 1

Independent events are ones whose occurrence is not contingent on the occurrence of another event. The two events A and B are independent.

What are independent events?

Independent events are ones whose occurrence is not contingent on the occurrence of another event.

As it is given that the probability of event A occurring is 0.65, while the probability of event B occurring is 0.76. And the probability of both event A and event B occurring is 0.494.

We know that for two independent events the probability of both the events occuring is given by the formula,

$\rm P(A\ and\ B)=P(A) \times P(B)$

Substitute the values of P(A) and P(B), we will get,

$\rm P(A\ and\ B)=0.65 \times 0.76$

                   $=0.494$

Since the probability of both the events occuring together is 0.494.

Hence, the two events A and B are independent.

Learn more about Independent Event:

https://brainly.com/question/3898645