Question

You roll a number cube twice. What is the probability of rolling an odd number and a 2 or a 4?

Answer 1

`P("an odd number and (a 2 or a 4)")=1/3`

Explanation:

`P("an odd number and (a 2 or a 4)")`
`color(white)("XXX")=color(red)(P("first roll is odd and second roll is (a 2 or a 4)")`
`color(white)("XXXX")+color(blue)(P("first roll is (a 2 or a 4) and second roll is odd")`

`color(white)("XXX")=color(red)(1/2 xx 1/3)+color(blue)(1/3xx1/2)`

`color(white)("XXX")=color(green)(1/3)`