The probability for event a is 0.4, the probability for event b is 0.2, and the probability of events a and b is 0.1. the events are not independent because the .

The events are not independent because the product of their marginal probabilities is not equal to their joint probability

Step-by-step explanation:

Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;

Pr(A) = 0.4

Pr(B) = 0.2

Pr(A n B) = 0.1

The product of their marginal probabilities is;

Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08

Their joint probability is given as;

Pr(A n B) = 0.1

Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.

answer:

c. the third graph

1) is right

step-by-step explanation: