Question

Calculate the probability of obtaining obtaining on rolling a fair dice: a) an even number, b) a number greater than 2, c) an odd number, d) a number divisible by 3?

Answer 1

[a] P(an even number)= 3/6

= 1/2

[b] P(a number greater than 2)= 4/6

=2/3

[c] P(an odd number)= 3/6

= 1/2

[d] P(a number divisible by 3)= 2/6

= 1/3

Reasons:

In [a] even numbers are 2,4,6 so number of outcomes=3

In [b] a number greater than 2 are 3,4,5,6 which is 4 outcomes

In [c] the odd numbers are 1,3,5 which are 3 outcomes

In [d] the numbers divisible by 3 are 3 and 6 so outcomes are 2

Total outcomes will remain 6 as that's the maximum number you get on the die

Hope this helps you buddy :)