Question

the faces on an eight - sided die are labelled 1, 1, 2, 2, 3, 4, 4, 4. the die is rolled 24 times. how many times should you expect to roll a 3? a) 5 b) 8 c) 3

Explanation:

Step1: Calculate probability of rolling a 3

The die has 8 sides and there is 1 side with a 3. So the probability $P(3)$ of rolling a 3 is $\frac{1}{8}$.

Step2: Find expected number of 3s

The die is rolled 24 times. The expected - value formula is $E = n\times P$, where $n = 24$ (number of trials) and $P=\frac{1}{8}$ (probability of success). So $E=24\times\frac{1}{8}=3$.

Answer:

c) 3