Question

A standard six-sided number cube is rolled. Find the probability of the given event. 1. an even number or a one

2. A six or a number less than 3
3. An even number or number greater than 5
4. An odd number or number divisible by 3

Answer 1

1) probability of getting an even number or one: 2/3

2)probability of getting six or a number less than 3: 1/2

3)probability of getting even number or a number greater than five: 1/2

4)probability of getting an odd number or number divisible by 3: 2/3

Explanation:

Sample space = {1,2,3,4,5,6}

Total number of possible outcome = 6

1) probability of getting an even number or one:

Sample space = {1,2,4,6}

P= 4/6

= 2/3

2) probability of getting six or a number less than 3:

Sample space = {1,2,6}

P= 3/6

= 1/2

3) probability of getting even number or a number greater than five:

Sample space= {2,4,6}

P= 3/6

= 1/2

4) probability of getting an odd number or number divisible by 3:

Sample space= {1,3,5,6}

P= 4/6

= 2/3