Question

Jimmie selects a marble from a bag, notes the color, and returns the marble to the bag. After 40 trials, he selects 12 orange marbles, 18 green marbles, and 10 blue marbles. Which of the following experimental probabilities are correct based on the results?

Answer 1

C) P(not orange) = 7/10; P(not green) = 11/20; P(not blue) = 3/4

Explanation:

The sum of the probabilities of all outcomes must equal 1.

Total trials = 40

If he selects 12 orange marbles out of 40 trials, then

P(orange) = 12/40 = 3/10

⇒ P(not orange) = 1 - 3/10 = 7/10

If he selects 18 green marbles out of 40 trials, then

P(green) = 18/40 = 9/20

⇒ P(not green) = 1 - 9/20 = 11/20

If he selects 10 blue marbles out of 40 trials, then

P(blue) = 10/40 = 1/4

⇒ P(not blue) = 1 - 1/4 = 3/4