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

Answer:

P(getting a 5)=$\frac{1}{6}$

P(number larger than 2)=$\frac{2}{3}$

P(numbers which are odd) =$\frac{1}{2}$

Step-by-step 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)=$\frac{outcomes favorable to event E}{Total number of outcomes}$

For part A:

Event is getting a 5.

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

So,

P(getting a 5)=$\frac{1}{6}$

For part B:

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

So, p(number larger than 2)=$\frac{4}{6} =\frac{2}{3}$

P(number larger than 2)=$\frac{2}{3}$

For part C:

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

So, p(numbers which are odd)=$\frac{3}{6 } =\frac{1}{2}$

P(numbers which are odd) =$\frac{1}{2}$