An experiment in which the three mutually exclusive events, A, B, and C form a partition of the uniform sample space S is depicted in the diagram.
Find .

Question

An experiment in which the three mutually exclusive events, A, B, and C form a partition of the uniform sample space S is depicted in the diagram. ​  ​
Find  .
​

Quizplus · Accepted Answer

The sum of the probabilities of the events in a partition is equal to 1. In this case, we have:
P(A) + P(B) + P(C) = 1
From the diagram, we can see that P(A) = 0.3 and P(C) = 0.5. Therefore:
0.3 + P(B) + 0.5 = 1
P(B) = 0.2
So the probability of event B is 0.2, which corresponds to choice C.

An Experiment in Which the Three Mutually Exclusive Events, A