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 probability of rolling a 6

A fair six - sided cube has 6 equally likely outcomes. The probability of rolling a 6, $P(6)$, is the number of favorable outcomes (1, since there is one face with 6) divided by the number of total outcomes (6). So $P(6)=\frac{1}{6}$.

Step2: Calculate expected number of times

To find the expected number of times a 6 is rolled in $n = 300$ trials, we use the formula: Expected number $=n\times P(6)$. Substitute $n = 300$ and $P(6)=\frac{1}{6}$ into the formula: $300\times\frac{1}{6}=\frac{300}{6}=50$.

Answer:

50