Question

A standard die is rolled 360 times in hopes of rolling a

5 or 6 so the probability of success is p.

a. 0.5
b. 0.33
c. 0.67
d. 0.17

Answer 1

The probability of rolling a 5 or 6 on a standard die is 1/3. In 360 rolls, the probability of rolling a 5 or 6 at least once is 120.

Step-by-step explanation:

The probability of rolling a 5 or 6 on a standard die is 2 out of 6, or 1/3. This means that for each roll, there is a 1/3 chance of rolling a 5 or 6. In this case, the die is rolled 360 times, so we can calculate the probability of success by multiplying the probability of rolling a 5 or 6 by the number of rolls. Therefore, the probability of rolling a 5 or 6 at least once in 360 rolls is:

P(success) = (1/3) * 360 = 120

So, the probability of success, denoted by p, is 120. Answer choice b, 0.33, is the correct answer.