Disjoint (or mutually exclusive) events have no outcomes in common and with P (A

Question

Disjoint (or mutually exclusive) events have no outcomes in common and with P (A or B) = P(A) + P(B). lf this equality does not hold, the events are not disjoint. Which of the following events are disjoint? P(A) = 0.30, P(B) = 0.25 and P(A or B) = 0.55 P(A) = 0.30, P(B) = 0.15 and P(A or B) = 0.35 P(A) = 0.60, P(B) = 0.50 and P(A or B) = 0.75 P(A) = 0.40, P(B) = 0.40 and P(A or B) = 0.70 Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of 0 5that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. The probability that you purchase no vehicle at all is

Explanation / Answer

In A) We can see that 0.30+0.25=0.55

Therefore since P(A)+ P(B)=P(A or B) therefore the events are disjoint

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