Question

The multiplication law is potentially helpful when we are interested in computing the probability of a. mutually exclusive events. b. the intersection of two events. c. conditional events. d. the union of two events.

Answer 1

Explanation:

The addition law is potentially helpful when we are interested in computing the probability of the union of two events. The addition law is a fundamental rule of probability that states that the probability of the union of two events A and B is equal to the sum of the probabilities of the individual events, minus the probability of their intersection. This law is often used to compute the probability of the union of two events when the events are mutually exclusive, that is, they cannot occur together. In this case, the probability of the union of the two events is simply the sum of their individual probabilities. If the events are not mutually exclusive, then the probability of their intersection must be subtracted from the sum of their probabilities to account for the overlap. The other answer choices are not applicable in this context because they do not involve computing the probability of the union of two events.

Answer 2

b ) the intersection of two events

Explanation:

Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability means to find the probability of the intersection of two events, multiply the two probabilities.

Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.

Independent events event is not affected by a previous event.

A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.