When rolling an eight sided die, and a four sided die, how many possible combinations are there?  draw a tree diagram that represents all the possible combinations for one roll of the two die (one eight sided die, and one four sided die)

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ISBN:9780470458365
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When rolling an eight sided die, and a four sided die, how many possible combinations are there? 

draw a tree diagram that represents all the possible combinations for one roll of the two die (one eight sided die, and one four sided die)

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Step 1

The first dice is eight sided and the second dice is four sided.

therefore, for the first dice, the sides are  {1,2,3,4,5,6,7,8}

for the second dice the sides are   {1,2,3,4}

The possible combinations are as follows

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(2,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4),(5,1),(5,2),(5,3),(5,4),(6,1),(6,2),(6,3),(6,4),(7,1),(7,2),(7,3),(7,4),(8,1),(8,2),(8,3),(8,4)}

Therefore, there are 32 possible combinations.

 

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