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aivan3 [116]
3 years ago
9

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 th

e top face was recorded. The table shows the results.
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

<u></u>

  • <u>2/5 = 0.4</u>

Explanation:

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

<em>Number Showing       Frequency</em>

<em>on Top Face</em>

<em>      1                                     0</em>

<em>     2                                     3</em>

<em>     3                                     3</em>

<em>     4                                     6</em>

<em>     5                                     3</em>

<em>     6                                     5</em>

<em />

<em>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?​ </em>

<h2 /><h2>Solution</h2><h2 />

The frequencies of each event recorded for a particular experience are named<em> experimental probabilities</em> 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.

<em>The experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face </em>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

<h2 />

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