a number cube will be rolled 100 times as part of an experiment. which calculation would you use to predict…

a number cube will be rolled 100 times as part of an experiment. which calculation would you use to predict the number of times a 4 will be rolled?\n(36)(\\frac{1}{4})\n(100)(\\frac{1}{4})\n(100)(\\frac{1}{6})\n(36)(\\frac{1}{4})

a number cube will be rolled 100 times as part of an experiment. which calculation would you use to predict the number of times a 4 will be rolled?\n(36)(\\frac{1}{4})\n(100)(\\frac{1}{4})\n(100)(\\frac{1}{6})\n(36)(\\frac{1}{4})

Answer

Explanation:

Step1: Determine probability of rolling 4

A standard number - cube has 6 faces. The probability of rolling a 4 on a single roll of a fair number - cube is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 4) out of 6 possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

Step2: Use probability to predict number of times

The number of trials is 100. To predict the number of times a 4 will be rolled, we multiply the number of trials by the probability of rolling a 4. So the calculation is $(100)\left(\frac{1}{6}\right)$.

Answer:

$(100)\left(\frac{1}{6}\right)$