Question

persevere with problems a number cube is rolled 24 times and lands on 6 three times. find the experimental probability of not landing on a 6. express your answer as a fraction in simplest form.

Explanation:

Step1: Find number of non - 6 outcomes

The total number of rolls is 24, and the number of times it lands on 6 is 3. So the number of times it does not land on 6 is \(24 - 3=21\).

Step2: Calculate experimental probability

The experimental probability of an event is the number of favorable outcomes divided by the total number of outcomes. For not landing on 6, the number of favorable outcomes is 21 and total outcomes is 24. So the probability is \(\frac{21}{24}\). Simplify this fraction by dividing numerator and denominator by their greatest common divisor, which is 3. \(\frac{21\div3}{24\div3}=\frac{7}{8}\).

Answer:

\(\frac{7}{8}\)