What is the probability of getting a 4 each time if a die is rolled 3 times?

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. 

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x.

When a die is rolled 3 times, 

Total number of outcomes is 6³ = 216.

The probability of getting a 4 when a die is rolled is 1/6.

It can be expressed as 

P(4) = 1/6

We want to know the probability of getting a 4 consecutively for 3 times.

P(4) for 3 times = (1/6) (1/6) (1/6)

= 1/216

Therefore, the probability of getting 4 is 1/216.

What is the probability of getting a 4 each time if a die is rolled 3 times?

Summary:

The probability of getting a 4 each time if a die is rolled 3 times is 1/216.