Question

A probability experiment consists of rolling a 6-sided die. Find the probability of the event below.rolling a number less than 3The probability is(Type an integer or decimal rounded to three decimal places as needed.)

Answer 1

The sample space while rolling a die is

since there are 6 possible outcomes, the probability of obtaining any side of the die is

`P(\text{one side)=}(1)/(6)`

Then, the probability to have a number less than 3 is

`P(\text{side 1)+P(side 2)=}(1)/(6)+(1)/(6)`

since

`(1)/(6)+(1)/(6)=(2)/(6)=(1)/(3)`

we have

`P(\text{side 1)+P(side 2)=}(1)/(3)`

that is, the probability to get a number less than 3 is 1/3, which is equal to 0.333.