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2 dice are rolled, 1 black and 1 white. How many different rolls are possible? (

ID: 3120654 • Letter: 2

Question

2 dice are rolled, 1 black and 1 white. How many different rolls are possible? (Note that a 4-black, 1-white result and a 1-black, 4-white result are two different outcomes.) How many rolls result in "snake eyes" (both dice showing 1)? How many rolls result in doubles (both dice showing the same value)? How many rolls result in a total of 7 or 11? How many rolls occur in which neither die shows the value 4? How many rolls occur in which the value on the white die is greater than the value on the black die?

Explanation / Answer

43) Total number of possible ways is 6*6=36

44) Both dies showing 1 is only 1 time

45) Both dies showing same number in 6 times as (1,1),(2,2),(3,3),(4,4),(5,5),(6,6).

46) Total 7 is (1,6),(6,1)

Total 11 is (6,5),(5,6)

7 or 11 is 4 ways

47) Neither shows 4 is 36- having at least one 4= 36-11=25

48) Possibilities are (6,1),(6,2),(6,3),(6,4),(6,5),(5,1),(5,2),(5,3),(5,4),(4,1),(4,2),(4,3),(3,1),(3,2),(2,1)

total ways is 15

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