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Popular Word Problems >

If a 6-sided fair die is rolled once, what is the probability of getting a number less than 4? Leave as a decimal and round to the nearest hundredth.

Solution

I f a 6 - s i d e d f ai r d i e i s ro ll e d o n ce, w ha t i s t h e p ro babi l i t y o f g e tt in g a n u mb er l ess t han 4 ? L e a v e a s a d ec ima l an d ro u n d t o t h e n e a res t h u n d re d t h .

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

The possible outcomes when \mathrm{a die is rolled} is

{1, 2, 3, 4, 5, 6} .

Therefore, the number of possible outcomes:

6

The number of favorable outcomes of \mathrm{getting a number less than 4 Leave as a decimal}:

3

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{3}{6}

Cancel the common factor:

3

= \frac{1}{2}

Popular Examples

the quotient of a number and-9 is at most-12 2 more than the product of a number and 3 is 11 Bryan opened a savings account and deposited 2,907.00 as principal. The account earns 14% interest, compounded annually. What is the balance after 5 years?four times the sum of a number and 9 is equal to 2 A fair die is to be thrown twice. What is the probability that the result on the first thrown is 5 and an even number on the second throw?