Question

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? (36)(\frac{1}{4}) (100)(\frac{1}{4}) (36)(\frac{1}{6}) (100)(\frac{1}{6})

Explanation:

Step1: Determine the probability of rolling a 4 on a cube

A standard cube has 6 faces. The probability of rolling a 4 (one - specific outcome) is \(P=\frac{1}{6}\).

Step2: Use the formula for expected value

The formula for the expected number of times an event occurs in \(n\) trials is \(E = n\times P\). Here, \(n = 100\) (the number of rolls) and \(P=\frac{1}{6}\) (the probability of rolling a 4). So the calculation is \(100\times\frac{1}{6}\).

Answer:

\((100)(\frac{1}{6})\)