Question

On the roll of a pair of dice, what's the probability of rolling a 7 or 11?

Answer 1

`8/36~=22%`

Explanation:

Here's a table showing all possible rolls:

`((color(white)(0),ul1,ul2,ul3,ul4,ul5,ul6),(1|,2,3,4,5,6,7),(2|,3,4,5,6,7,8),(3|,4,5,6,7,8,9),(4|,5,6,7,8,9,10),(5|,6,7,8,9,10,11),(6|,7,8,9,10,11,12))`

There are 6 possible ways to roll a seven and 2 possible ways to roll an eleven, out of a total number of 36 possible ways the dice can fall. That means that the probability of rolling a 7 or 11 is `(6+2)/36=8/36=2/9=.bar2~=22%`