Two standard dice are rolled, what is the probability of rolling a total of 9?

2 Answers
MathFact-orials.blogspot.com
Jul 8, 2018

#4/36=1/9#

Explanation:

There are 36 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))#

and of those, 4 result in a nine. Therefore, the probability of rolling a 9 is:

#4/36=1/9#

Jacobi J.
Jul 8, 2018

#1/4#

Explanation:

If we roll two #6# sided dice, the number of outcomes is equal to

#6xx6#, or #36#. This will be our denominator.

How many ways can we get a #9# with two dice?

We can get the following:

#6,3#

#5,4#

#4,5#

#3,6#

There are four ways of getting #9# with two dice. This will be ur numerator. Thus, we have

#9/36#, which can be simplified to #1/4#.

Therefore, the probability of rolling a #9# with two dice is #1/4#.

Hope this helps!

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