Question

When a standard die is rolled, find the probability of getting a. 5 b. A number larger than 2 c. An odd number.

Answer 1

P(getting a 5)=
`(1)/(6)`

P(number larger than 2)=
`(2)/(3)`

P(numbers which are odd) =
`(1)/(2)`

Explanation:

When a standard die is rolled, we get sample space as {1,2,3,4,5,6}

So, let's use formula

P(E)=
`(outcomes favorable to event E)/(Total number of outcomes)`

For part A:

Event is getting a 5.

So, out of 6 samples , we get one 5 as outcome

So,

P(getting a 5)=
`(1)/(6)`

For part B:

The numbers larger than 2 are {3,4,5,6}

So, p(number larger than 2)=
`(4)/(6) =(2)/(3)`

P(number larger than 2)=
`(2)/(3)`

For part C:

The numbers which are odd are {1,3,5}

So, p(numbers which are odd)=
`(3)/(6 ) =(1)/(2)`

P(numbers which are odd) =
`(1)/(2)`