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?

independent

Step-by-step explanation:

Event A and B are independent

Step-by-step explanation:

Events A and B are independent if and only if

As per the statement:

The probability of event A is 0.65 and the probability of event B is 0.76.

⇒ and  

It is also given that the probability of both event A and event B occurring is 0.494.

Find:

Simplify:

⇒

therefore, Events A and B are independent.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square