Question

An experiment consists of rolling 2 fair dice. How do you find each probability of P(total shown = 5)?

Answer 1

`1/9`

Explanation:

Statistics on the whole is about counting.

A die has 6 values so if you throw two dice and add up their numbers you have the potential of arriving at `6xx6=36` posible combinations as below:

If you count all the possible combinations that give 5 and express this as a fraction of all possible combinations you have your probability. It is part of the whole.

`("count of "color(red)("four")" numbers 5's")/("count of all numbers "=color(green)(36))`

So probability of getting a number 5 `->P(5)=color(red)(4)/color(green)(36) = 2/18=1/9`