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A die was rolled 20 times. The die landed 14 times on an even number and 6 times on an odd number.

What is the experimental probability of landing on an even number?

A. [tex]\(\frac{7}{10}\)[/tex]

B. [tex]\(\frac{3}{10}\)[/tex]

C. [tex]\(\frac{1}{2}\)[/tex]


Sagot :

To determine the experimental probability of landing on an even number when a die is rolled, follow these steps:

1. Identify the total number of trials: In this case, the die was rolled 20 times.

2. Identify the number of successful trials (even outcomes): The die landed on an even number 14 times.

3. Calculate the experimental probability:
Experimental probability is defined as the ratio of the number of successful outcomes to the total number of trials.

[tex]\[ \text{Experimental probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \][/tex]

4. Substitute the given values:

[tex]\[ \text{Experimental probability} = \frac{14 \text{ (even rolls)}}{20 \text{ (total rolls)}} \][/tex]

5. Simplify the fraction:

[tex]\[ \frac{14}{20} = \frac{7}{10} \][/tex]

Therefore, the experimental probability of landing on an even number is [tex]\(\frac{7}{10}\)[/tex], which can also be expressed as 0.7.

Comparing this result to the given options:

- [tex]\(\frac{7}{10}\)[/tex]
- [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(\frac{1}{2}\)[/tex]

The correct answer is [tex]\(\frac{7}{10}\)[/tex].