Probability of the Intersection of Two Sets Conceptual Overview: Explore how the

Question

Probability of the Intersection of Two Sets Conceptual Overview: Explore how the probability of the intersection of two events equals the probability that both events occur The two dircles shown below represent two events, A and &. The area of each circle represents the probablity of each event. When the circles do not overlap, it is impossible for both events to ocour Drag one of the cirles so they partialy overlap. Drag on the letters A'and '' to change the size of the cirdes The area of the overlap is the probability that both events occur simultaneously and its value is displayed above the rectangle as P (An 8.The intersection is often descrbed as an "AND" statement. The Intersection is the probablity of "A AND B" occurring simultaneously P(A) 0.129, P(B) 0.067, P(A n B) 0

Explanation / Answer

1. P(A) = 0.061 P(B) = 0.16

Since A is inside B, P(A U B) = P(B) and P(A B) = P(A) = 0.061

The correct answer is given in c.

2. P(A) = 0.061 P(A B) = 0.02

=> Portion of A that intersects with B = 0.02/0.061 which is rougly 1/3.

The correct answer is given in a.

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