The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.

Why are the events not mutually exclusive?
A, The sum of P(A) and P(B) is less than P(A or B).
B. The product of P(A) and P(B) is less than P(A or B).
C. The product of P(A) and P(B) is not equal to P(A or B).
D. The sum of P(A) and P(B) is not equal to P(A or B).

Respuesta :

The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Given that

  • probability for event A, P(A) = 0.3.
  • probability for event B, P(B) = 0.6.
  • the probability of events A or B, P(A or B) = 0.8.

For mutually exclusive events, P(A) + P(B) = P(A or B).

So, P(A) + P(B) = 0.3 + 0.6 = 0.9

P(A or B) = 0.8

Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8

The events are not mutually exclusive.

So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Learn more about mutually exclusive events here:

https://brainly.com/question/14660720

Answer:

C

Step-by-step explanation: