the probability for event a is 0.3, the probability for event b is 0.6, and the probability of events a or b…

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? the sum of p(a) and p(b) is less than p(a or b). the product of p(a) and p(b) is less than p(a or b). the product of p(a) and p(b) is not equal to p(a or b). the sum of p(a) and p(b) is not equal to p(a or b).

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? the sum of p(a) and p(b) is less than p(a or b). the product of p(a) and p(b) is less than p(a or b). the product of p(a) and p(b) is not equal to p(a or b). the sum of p(a) and p(b) is not equal to p(a or b).

Answer

Explanation:

Step1: Recall the property of mutually - exclusive events

For mutually - exclusive events A and B, (P(A\cup B)=P(A)+P(B)).

Step2: Calculate (P(A)+P(B))

Given (P(A) = 0.3) and (P(B)=0.6), then (P(A)+P(B)=0.3 + 0.6=0.9).

Step3: Compare with (P(A\cup B))

Given (P(A\cup B)=0.8). Since (P(A)+P(B)=0.9\neq0.8 = P(A\cup B)), the events are not mutually - exclusive.

Answer:

The sum of (P(A)) and (P(B)) is not equal to (P(A\ or\ B)).