Question

Daisy placed marbles in a bag. She had 5 pink, 6 blue, 3 green, and 1 yellow. What is the probability that you first select a pink, you replace it, and then you select a yellow?

A) 5/15
B) 5/15*1/14
C) 5/15+1/15
D) 1/15

Answer 1

The probability of first selecting a pink marble and then selecting a yellow marble from the bag is 1/45.

Step-by-step explanation:

To find the probability that Daisy first selects a pink marble, replaces it, and then selects a yellow marble, we need to multiply the probability of selecting a pink marble by the probability of selecting a yellow marble.

The probability of selecting a pink marble is 5/15, since there are 5 pink marbles out of a total of 15 marbles.

Since the marbles are replaced after each selection, the probability of selecting a yellow marble is 1/15, since there is 1 yellow marble out of a total of 15 marbles after the pink marble is replaced.

Therefore, the probability of first selecting a pink marble and then selecting a yellow marble is (5/15) x (1/15) = 1/45.