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.

Question

Georgia Thomas

Mathematics

22 January, 10:46

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.

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Answers (2)

Know the Answer?

Ruben Mahoney · Answer 1

Product of P (A) and P (B) is not equal to P (A and B)

Step-by-step explanation:

it would be option C on E2020

Leonardo Beard · Answer 2

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.