Question

emma conducted an experiment in which she rolled a six - sided, fair number cube 300 times. how many times would you predict she rolled a 6? times

Explanation:

Step1: Determine the probability of rolling a 6

A fair six - sided number cube has 6 possible outcomes (\(1,2,3,4,5,6\)). The probability of rolling a 6, \(P(6)\), is \(\frac{1}{6}\) since there is 1 favorable outcome (rolling a 6) out of 6 total outcomes.

Step2: Use the formula for expected value

The expected value formula is \(E = n\times P\), where \(n\) is the number of trials and \(P\) is the probability of the event. Here, \(n = 300\) (the number of times the cube is rolled) and \(P=\frac{1}{6}\) (probability of rolling a 6). So, \(E=300\times\frac{1}{6}\).
Calculate \(300\times\frac{1}{6}=\frac{300}{6}=50\).

Answer:

50