Question

A fair die is rolled in a board game to determine how many spaces a player can move on their turn. It has one of the numbers 1,2,3,4,5, or 6 on each of its faces.

Let event A be rolling an even number and event B be rolling an odd number.
Identify the numbers of each of the following:
Provide your answer below:
A. There are_______ outcomes in the sample space.
B. There are_______ outcomes in event A.
C. P(A) =_________ is the probability that you choose an even number.

Answer 1

(a)6 (b)3 (c)0.5

Explanation:

Given a fair die with the numbers 1,2,3,4,5, or 6 on each of its faces.

• Event A is the event of rolling an even number

• Event B is the event of rolling an odd number.

(a)The sample space for the outcomes in this experiment is {1,2,3,4,5,6}

There are 6 outcomes in the sample space.

n(S)=6

(b)

Event A is the event of rolling an even number

Sample space of A = {2,4,6}

There are 3 outcomes in event A.

n(A)=3

(c)The probability of event A

`P(A)=(n(A))/(n(S)) =(3)/(6) =0.5`

P(A) =0.5 is the probability that you choose an even number.