Question

There are 10 orange, 5 red, 8 blue, and 2 green marbles in a bag. How many times out of 150 draws should someone expect to marble that is not orange?

A. 30
B. 48
C. 60
D. 90

Answer 1

There are a total of 25 marbles in the bag, and 10 of them are orange. This means that there are 25 - 10 = 15 marbles that are not orange.

To determine how many times out of 150 draws someone should expect to draw a non-orange marble, we can use the probability of drawing a non-orange marble on any given draw, which is:

P(non-orange) = (number of non-orange marbles)/(total number of marbles) = 15/25 = 3/5

The expected number of non-orange marbles in 150 draws is then:

E(number of non-orange marbles) = (number of draws) x P(non-orange) = 150 x (3/5) = 90

Therefore, someone should expect to draw a non-orange marble 90 times out of 150 draws, which corresponds to option D.