Question
Breanna is conducting an experiment with a number cube. She rolled the cube 24 times. How many times could she expect the cube to land on 6?
Answers
GPT-4o mini
A standard number cube (die) has six faces, numbered from 1 to 6. Since the die is fair, the probability of rolling a 6 on a single roll is \( \frac{1}{6} \).
Breanna rolled the cube 24 times. To find the expected number of times the die would land on 6, we can use the formula for expected value, which is:
\[
\text{Expected number of rolls landing on 6} = \text{Number of rolls} \times \text{Probability of rolling a 6}
\]
Substituting the known values:
\[
\text{Expected number of rolls landing on 6} = 24 \times \frac{1}{6}
\]
Calculating this gives:
\[
\text{Expected number of rolls landing on 6} = 24 \div 6 = 4
\]
Therefore, Breanna could expect the cube to land on 6 approximately **4 times**.
Breanna rolled the cube 24 times. To find the expected number of times the die would land on 6, we can use the formula for expected value, which is:
\[
\text{Expected number of rolls landing on 6} = \text{Number of rolls} \times \text{Probability of rolling a 6}
\]
Substituting the known values:
\[
\text{Expected number of rolls landing on 6} = 24 \times \frac{1}{6}
\]
Calculating this gives:
\[
\text{Expected number of rolls landing on 6} = 24 \div 6 = 4
\]
Therefore, Breanna could expect the cube to land on 6 approximately **4 times**.