An urn contains 3 red, 2 blue, and 5 green marbles. If we pick 4 marbles with replacement and count the number of red marbles in the 4 picks, the probabilities associated with this experiment are P(0) = 0.24, P(1) = 0.41, P(2) = 0.265, P(3) = 0.076, and:
A)P(4)= 0.001.
B)P(4)= 0.005.
C)P(4)= 0.009.
D)The answer cannot be determined with information given.

Question

Quizplus · Accepted Answer

The probability of picking a red marble each time, with replacement, is $ \left(\frac{3}{10}\right)^4 $ since there are 3 red marbles out of 10 total marbles. Calculating this gives $ \left(\frac{3}{10}\right)^4 = 0.0081 $ or 0.009 when rounded to three decimal places.

An Urn Contains 3 Red, 2 Blue, and 5 Green