Question

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

Answer 1

That guy was right it is independent, 1/4

Answer 2

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