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List possible outcomes

List possible outcomes-example-1
User Selalerer
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1 Answer

3 votes

Answer:

2. A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red

3. 18

Explanation:

2. Flipping a coin and spinning a 4-color spinner.

There are two possible outcomes for the coin: heads or tails (H or T).

There are still 4 possibilities for the spinner: red, blue, green and yellow

Since both are independent, you multiply the possible outcomes of each event, so 2 * 4 = 8 possible outcomes.

To list them all, take each possible outcome on one item (coin or spinner), and match it with all the possible outcomes of the other item.

So answer is A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red

3. Lunch combinations

You have 2 sandwiches, 3 sides and 3 beverages. How many different lunches can you make picking one of each?

As in the problem above, these possible outcomes are independent (choosing one specific sandwich has no impact on the side or the beverage).

So, to count all the possible outcomes, you just have to multiply the possible outcomes of each item, so

L = 2 sandwiches x 3 sides x 3 beverages = 18 possible lunches

User Stachu
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