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Scott is playing a game in which he Rolls a number cube with faces number one through 1-6 spins the spinner shown below one time each how many unique combinations were the number on The cube is greater than 2 and the number on the spinner is less than 9 are possible

Scott is playing a game in which he Rolls a number cube with faces number one through-example-1
User Tmucha
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2 Answers

18 votes
18 votes

Answer:

Possible Outcomes

2 7

2 9

4 7

4 9

6 7

6 9

Explanation:

for starters,we know that the dice has 6 numbers, but since we want it to only show even numbers, we can eliminate 1,3,5 from the dice.

For the spinner, we know that there are four numbers on it, but we only want it to show odd numbers, so eliminate all the even numbers on the spinner. Therefore we're left with 7 and 9.

Since we want every possible outcome, we link each available number on the dice to a number available on the spinner, therefore we can group them into subsets.

eg: We start with 2 on the dice, then we will pair it with 7. So, (2,7)

Then, we pair 2 with the final and only number left on the spinner, which is 9. Hence, (2,9)

Do this step so on so forth, until every even number on the dice has two pairs with the spinner.

You'll get: (2,7) (2,9) (4,7) (4,9) (6,7) (6,9)

User Manuel Meurer
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2.7k points
17 votes
17 votes

There are 8 unique combinations for the cube and the spinner

How many unique combinations are there

From the question, we have the following parameters that can be used in our computation:

The cube and the spinner

Where, we have

Number on the cube is greater than 2 = 4

Number on the spinner is less than 9 = 2

So, we have

Combinations = 4 * 2

Evaluate

Combinations = 8

Hence, there are 8 combinations

User Flicken
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