Question

This is a compound event problem. (Check the videos from this week's assignments.).

You roll a fair six-sided die and spin a spinner. What is the probability that the die shows a 4 and the spinner lands on yellow?


Fraction


Decimal (provide the first 5 decimal numbers)


Percent % (Round to the nearest tenth.)

Answer 1

1/12

Explanation:

The desired probability is the product of the probabilities of two independent events. The probability of obtaining a 4 on the fair 6-sided die is 1/6 (one out of 6) and that of the spinner's coming to rest on Yellow is 2/4, or 1/2.

Calculate the probability of this joint event as follows: (1/6)(1/2) = 1/12