Suppose you pick a marble from a box containing five red and seven blue marbles. You record the color and put the marble back in the box. What is the probability of getting a red marble both times if you do this twice?
A)5/12
B)4/11
C)25/144
D)5/33

Question

Quizplus · Accepted Answer

The probability of picking a red marble on any one draw is 5/12, since there are five red marbles out of twelve total. Since you replace the marble after each draw, the two events of picking a red marble are independent, which means we can multiply their probabilities to get the probability of both events happening. Therefore, the probability of picking a red marble twice is (5/12) * (5/12) = 25/144.

Suppose You Pick a Marble from a Box Containing Five