A pair of dice is tossed. How do you find the probability of the sum of the numbers being 6 or 11?

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Answer 1 · 2017-02-17T14:52:09

#P(6" or "11) = 5/36 +2/36 = 7/36#

One method is to draw a grid with rows and columns numbered from 1 to 6.

In the grid fill in the sum of the row and the column.

You will find the following:

There are 36 different outcomes. #(6xx6 = 36)#

There are two ways to make 11: #5+6, and 6+5#

#P(11)= 2/36#

There are five ways to make 6:#1+5, 2+4,3+3, 4+2 and 5+1#
#P(6)= 5/36#

If there is a choice of options, add the probabilities.

#P(6" or "11) = 5/36 +2/36 = 7/36#