Final answer:
Erica should expect the cube to land on the number 5 approximately 50 times when rolling it 300 times.
Step-by-step explanation:
When rolling a number cube, the probability of landing on a specific number is determined by the formula P(E) = 1/6, where E is the event of landing on a specific number. In this case, Erica wants to know how many times she can expect to roll a 5 when rolling the cube 300 times.
To find the expected number of times Erica will roll a 5, we can multiply the probability of rolling a 5 (1/6) by the total number of rolls (300). This gives us:
Expected number of times = Probability of rolling a 5 × Total number of rolls
Expected number of times = 1/6 × 300 = 50 times
Therefore, Erica should expect the cube to land on the number 5 approximately 50 times when rolling it 300 times.