Question

If you roll two dice, what is the probability of rolling a number less than 5 and another odd number?

Answer 1

Because we see the word AND we will have to multiply, but see the "but" later on.

Explanation:

There are 6 possible outcomes:

`P(<5)=4/6=2/3`

`P(odd)=3/6=1/2`

Multiplying we get `2/3*1/2=2/6=1/3`

BUT!
This only counts for the first die giving the under 5, and the second die giving the odd. The other way around has the same probability.
It's either..or , so we add .
`1/3+1/3=2/3`