If we toss two dice 1,000 times. how many times do we expect to have the sum of the two dice equal to 4?
a. about 250 times
b. about 167 times
c. about 83 times
d. about 42 times

There are three ways to obtain a total of 4 with two dice: 
(1,3), (2,2), and (3,1) 

There are 36 total outcomes with 2 dice. 

so P(4) = 3/36 = 1/12, or you'd expect a total of 4 one out of every 12 rolls. Now find out how many this equates to in 1000 rolls. 

1/12 * 1000 = 83 1/3 

So you'd expect 83 totals of 4 in 1000 rolls

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