Question

Sixty percent of the marbles in a bag are blue. One marble is chosen and replaced. A second marble is chosen and replaced. Then a third marble is chosen. What is the probability that a blue marble will not be chosen?

Answer 1

0.064. same as 8/125

Explanation:

Probability is the ratio of the number of possible outcome to the total outcome.

Given that Sixty percent of the marbles in a bag are blue

The probability of picking a blue marble

p(b) = 60% = 3/5

The probability of not picking a blue marble

np(b) = 1 - 60%

= 1 - 3/5

= 2/5

Hence where 3 marbles are picked and replaced, the probability of not picking a blue marble

= 2/5 * 2/5 * 2/5

= 8/125

= 0.064