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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 12?

Question

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 12?

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Step 1

Given,

A twelve-sided die with sides labelled from 1 to 12 will be rolled once. Each number is equally likely to be rolled.

Step 2

We know that,

P(A)Number of favorable outcomes of A
Total number of outcomes
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P(A)Number of favorable outcomes of A Total number of outcomes

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Step 3

Calculati...

There are eleven numbers less than 12 that are on this die: 1, 2, 3, 4, 5,
6,7,8,9,10, and 11
So, number of favourable outcomes i.e. number less than 12= 11.
Since, there are 12 total numbers on the die, so there are 12 possibilities of
rolling the die
Therefore, total number of outcomes = 12.
11
The probability of rollinga number less than 12 =
12
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There are eleven numbers less than 12 that are on this die: 1, 2, 3, 4, 5, 6,7,8,9,10, and 11 So, number of favourable outcomes i.e. number less than 12= 11. Since, there are 12 total numbers on the die, so there are 12 possibilities of rolling the die Therefore, total number of outcomes = 12. 11 The probability of rollinga number less than 12 = 12

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