Identify the following compound event as independent or dependent, and then find the probability of the events both occurring.

A bag contains 6 marbles, 3 red and 3 blue. What is the probability of drawing a red marble, replacing it, and then drawing another red marble?

independent, 1/2

dependent, 1/2

dependent, 1/4

independent, 1/4

Question

Mathematics

Maddison Howe

30 November, 15:14

Identify the following compound event as independent or dependent, and then find the probability of the events both occurring.

A bag contains 6 marbles, 3 red and 3 blue. What is the probability of drawing a red marble, replacing it, and then drawing another red marble?

independent, 1/2

dependent, 1/2

dependent, 1/4

independent, 1/4

+1

Answers (1)

Know the Answer?

Alessandra Perkins · Answer 1

The formula of probability is given as:

P = number of successful events / total events

In this case, since we are drawing red marbles for 2 succession with replacement therefore:

P = (3/6) * (3/6)

P = ¼

Since we are replacing the drawn sample, therefore the compound events are independent.

Answer: independent, 1/4