A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number less than 4 ? Write your answer as a fraction in simplest form.

There are three numbers less than 4 that are on this die: 1, 2, and 3. These are the desired outcome, so this will be our numerator.

There are 12 total numbers on the die, so there are 12 possibilities of rolling the die. This will be the denominator.

This becomes 3/12, which can be simplified to 1/4.

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-01-19T08:42:26+01:00

Probability is the occurrences of the random event. Probability is the ratio of the favorable outcomes to the number of the total outcomes. The probability to get the number less than 4 by rolling a 12 number labeled die one time is 1/4.

Given-

A twelve-sided die with sides labeled 1 through 12 will be rolled once.

Each number is equally likely to be rolled.

What is the probability?

Probability is the occurrences of the random event. Probability is the ratio of the favorable outcomes to the number of the total outcomes.

As the total number labeled on the die are 12. Thus the total number of outcome by rolling the die one time is 12.

The total number less then 4 are one, two and three. Thus the total number of the favorable outcome are 3.

Let [tex]P[/tex] be the probability of rolling a number less than 4.Now the probability is the ratio of the favorable outcomes to the number of the total outcomes. Thus

[tex]P=\dfrac{3}{12}[/tex]

[tex]P=\dfrac{1}{4}[/tex]

Hence, the probability to get the number less than 4 by rolling a 12 number labeled die one time is 1/4.

Learn more about the probability here;

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