lewis is rolling a 10 - sided die 250 times. each side of the die is labeled with a number 1 - 10. based on…

lewis is rolling a 10 - sided die 250 times. each side of the die is labeled with a number 1 - 10. based on the theoretical probability, how many times would lewis be expected to roll a multiple of 3?\n25\n30\n75\n83

lewis is rolling a 10 - sided die 250 times. each side of the die is labeled with a number 1 - 10. based on the theoretical probability, how many times would lewis be expected to roll a multiple of 3?\n25\n30\n75\n83

Answer

Explanation:

Step1: Find probability of rolling a multiple of 3

Multiples of 3 from 1 - 10 are 3, 6, 9. So there are 3 favorable outcomes out of 10. Probability $P=\frac{3}{10}$.

Step2: Calculate expected number of times

Expected value $E = P\times n$, where $n = 250$. So $E=\frac{3}{10}\times250$. $E = 75$.

Answer:

C. 75