Question

A game is played with a fair number cube and a spinner that us broken into 5 equal parts that are colored red, green, blue, purple and yellow. What is the probability of rolling an even number on the number cube and spinning a blue on the spinner?

Answer 1

We have 5 possible parts colored red, green, blue, purple and yellow

The cube for this case have 6 possible numbers 1,2,3,4,5,6

We have the following even numbers: 2,4,6

Then the probability of obtain an even number is:

p1= 3/6= 1/2

Then the probability of obtain a blue color on the spinner is:

p2= 1/5

Then we want this probability:

Obtain an even number AND sppining a blue on the spinner

Then since the events are independent we can do this:

p = 1/2 * 1/5= 1/10