9 a die is rolled 4 times. what is the chance that none of the rolls show 4 or more spots? a. less than 1%…

Explanation:

Step1: Calculate single - roll probability

A die has 6 faces. The numbers less than 4 are 1, 2, 3. So the probability of getting a number less than 4 in a single roll is $\frac{3}{6}=\frac{1}{2}$.

Step2: Calculate 4 - roll probability

Since the rolls are independent events, the probability that none of the 4 rolls show 4 or more spots (i.e., all 4 rolls show numbers less than 4) is $(\frac{1}{2})\times(\frac{1}{2})\times(\frac{1}{2})\times(\frac{1}{2})=\frac{1}{16}= 6.25%$.

Answer:

C. 6.25%