Question

You have to choose a color on the spinning wheel and get a multiple of 2 on a dice as shown below. So, the total number of possible outcomes for the above events is ___.

• A. 15

Answer 1

The correct option is A 15
The sample space of an event is nothing but the total number of possible outcomes.

The numer of possible ways by which you can choose a color out of the five colors given on the spinning wheel is 5.

A dice has the following numbers on its faces - 1, 2, 3, 4, 5 and 6.
So, multiple of 2 are - 2, 4 and 6.

∴ The number of possible ways by which you choose a multiple of 2 on a dice is 3.

So, the tree diagram will look like:


∴ Total number of outcomes is 15.