emma conducted an experiment in which she rolled a six - sided, fair number cube 300 times. how many times…
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?
Answer
Explanation:
Step1: Determine probability of rolling a 6
For a fair six - sided die, the probability $P$ of rolling a 6 on a single roll is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 6) out of 6 possible outcomes.
Step2: Calculate the expected number of 6s
The expected number of times a 6 is rolled in $n = 300$ rolls is given by the formula $E=n\times P$. Substitute $n = 300$ and $P=\frac{1}{6}$ into the formula: $E = 300\times\frac{1}{6}=50$.
Answer:
50