Question

Gerri is unsure whether a six-sided number cube is fair. She rolls the number cube 35 times and records the outcomes in the table below.

Outcome
1
2
3
Frequency
6
8
3
12
4
5
1
6
5
Based on the observed frequencies, which percent represents a reasonable probability of rolling a number less than 3?
14%
o
33%
o
40%
O
49%

Answer 1

40%

Explanation:

In order to calculate this probability we need to calculate the frequency of all the numbers rolled that were less than three. Since this would be numbers 1 and 2 and 1 was rolled 6 times while 2 was rolled 8 times, therefore, we add these numbers together.

6 + 8 = 14

Since we are tolled that the total number of rolls were 35, we now divide the number of rolls that were less than 3 (14 rolls) by the total number of rolls made (35 rolls). This would give us the probability of rolling a number less than 3

14 / 35 = 0.4 ... multiply by 100 to get percentage

0.4 * 100 = 40%