Question

A spinner and a fair number cube are used in a bet. The spinner has an equal chance of landing on 1 of 4 colors: purple, green, blue, or yellow. The faces of the cube are labeled 1 through 6. What is the probability of a player spinning the color green and then rolling a 5 or 6

Answer 1

1/12

Explanation:

Given that :

Spinner has four colors (purple, green, blue, or yellow)

Dice has six faces (1, 2, 3, 4, 5, 6)

Probability = required outcome / Total possible outcomes

Probability of green, p(green) = 1/ 4

P(rolling 5 or 6) = p(5) + p(6) = 1/6 + 1/6 = 2/6 = 1/3

P(green) and then rolling a 5 or 6

P(green) * p(rolling 5 or 6)

(1/4) * (1/3) = 1/12