Question

Breanna is conducting an experiment with a number cube. She rolled the cube 48 times. How many times could she expect the cube to land on 2?

Answer 1

A standard number cube (or dice) has 6 faces, each representing a different number from 1 to 6. When rolling the cube, each face has an equal probability of landing face up.

The probability of rolling a 2 on a number cube is:

\[
P(2) = \frac{1}{6}
\]

Breanna rolled the cube 48 times. To find the expected number of times the cube lands on 2, we multiply the total number of rolls by the probability of rolling a 2:

\[
\text{Expected number of 2s} = \text{Total rolls} \times P(2)
\]
\[
\text{Expected number of 2s} = 48 \times \frac{1}{6}
\]
\[
\text{Expected number of 2s} = 48 \div 6 = 8
\]

Thus, Breanna could expect the cube to land on 2 approximately **8 times**.