Question

predicting the outcome of an experiment 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?

Explanation:

Step1: Determine the probability of rolling a 6

A fair six - sided cube has 6 possible outcomes (1, 2, 3, 4, 5, 6), and the probability of rolling a 6, $P(6)$, is the number of favorable outcomes (1, since only 6 is the favorable outcome for rolling a 6) divided by the number of total outcomes. So $P(6)=\frac{1}{6}$.

Step2: Calculate the expected number of times a 6 is rolled

The expected number of times an event occurs in $n$ trials is given by the formula $E = n\times P$, 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 $P=\frac{1}{6}$. So we calculate $E=300\times\frac{1}{6}$.
$300\times\frac{1}{6}=\frac{300}{6}=50$.

Answer:

50