Problema Solution
You have two spinners, each with black, white, and gray sections. The grey section is twice as large as the black or white section. If you spin them both, what is the chance that one will come up black and one grey? Show your work by drawing a diagram, then indicating which ones satisfy the experimental conditions. Show your work.
Answer provided by our tutors
There are 3 sections on the spinners, and one of the sections is twice as large as the other two, which are the same size. The grey section is twice as large as the black or white, so if the black area is 1 unit then the white area is also 1 unit and the grey area is 2 units. That means that of the 4 total units, 2 are grey, so grey is 2/4 = 1/2 of the total area of the spinner, and black and white are each 1/4 of the total area. These also represent the probabilities of landing on each color.
The probability of landing on black on one spinner and grey on the other is equal to the following:
P(black, grey) + P(grey, black) = 1/4 * 1/2 + 1/2 * 1/4 = 1/8 + 1/8 = 1/4
So there is a 1 in 4, or 25%, chance that one spinner will land on black and the other will land on grey.