Question

12. Mixing red and blue gives purple, blue and yellow gives green, and red and yellow gives orange.
A spinner is blue and red. Another one is blue, red, and yellow.

If the pointers of both spinners are spun, find each probability.

a) The resulting colour is purple.
The color red on the first board is ½ or 50/50 the chance to get blue on the second is
⅓

b) The resulting colour is green.

c) The resulting colour is orange.

Answer 1

A spinner is 1/2blue and1/2 red. Another one is1/3 blue,1/3 red, and1/3 yellow.

Answer 2

a) P(red,blue) = 1/2 * 1/3 = 1/6
P(blue,red) = 1/2 * 1/3 = 1/6
so, P(purple) = 1/6 + 1/6 = 1/3

The others are similar, but even easier.