Question

A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results.

Answer 1

Answer:

• 2/5 = 0.4

Explanation:

The table that shows the results and the question (taken from similar question) are:

Number Showing       Frequency

on Top Face

     1                                     0

    2                                     3

    3                                     3

    4                                     6

    5                                     3

    6                                     5

Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?​

Solution

The frequencies of each event recorded for a particular experience are named experimental probabilities and, in general, differ from the theoretical probabilities.

Experimental probabilities, for instance, when compared with the theoretical probabilities, may show a bias, like a loaded (unfair) die.

The experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face is equal to the number of times the die showed a 5 or a 6 on the top face (the frequencies) divided by the number of times the experiment was performed:

• Frequency of 5 on top face: 3
• Frequency of 6 on top face: 5

                                                     ====

                                                        8

• Number of times the experiment was performed: 0 + 3 + 3 + 6 + 3 + 5 = 20

Probability = 8 / 20 = 2 / 5 = 0.4 ← answer