Question

use the information to answer questions 3 and 4.
two number cubes are rolled 20 times. the results are shown in the table.
4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4

1. what is the experimental probability that the next roll of the number cubes will result in a 5 and a 2? write your answer in decimal form.
2. what is the experimental probability that the next roll of the number cubes will result in a 1 and a 1?

Explanation:

Step1: Count total trials

Total number of rolls = 20

Step2: Count (5,2) occurrences

Number of times (5,2) appears = 3

Step3: Calculate Q3 probability

Experimental probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{3}{20} = 0.15$

Step4: Count (1,1) occurrences

Number of times (1,1) appears = 1

Step5: Calculate Q4 probability

Experimental probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{1}{20} = 0.05$

Answer:

1. $0.15$
2. $0.05$