Question

When using the general addition rule in probability, which of the following situations represents an application of this rule?

A. Rolling a fair six-sided die and flipping a fair coin.
B. Selecting two marbles from a bag without replacement.
C. Drawing a card from a standard deck and then drawing another card without replacement.
D. Tossing a fair coin twice.

Answer 1

The situation that represents an application of the general addition rule in probability is drawing a card from a standard deck and then drawing another card without replacement.

Step-by-step explanation:

The general addition rule in probability is used to calculate the probability of the union of two events. It states that the probability of the union of events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

In this case, the situation that represents an application of the general addition rule is:

C. Drawing a card from a standard deck and then drawing another card without replacement.

When two cards are drawn from a deck without replacement, the probability of drawing a card from one suit (event A) and then drawing a card from another suit (event B) can be calculated using the general addition rule.