Representing Sample Spaces for Compound Events Quiz

  • 7th Grade
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| Questions: 20 | Updated: Dec 11, 2025
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1) A coin is flipped and a number cube (1–6) is rolled. How many total outcomes are in the sample space?

Explanation

 A coin has 2 outcomes (H, T).

A number cube has 6 outcomes (1–6).

To find total outcomes in the sample space, multiply:

2 × 6 = 8 total outcomes

Each coin outcome pairs with each number.

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About This Quiz
Representing Sample Spaces For Compound Events Quiz - Quiz

This quiz will challenge you to represent compound events, which are made up of two or more smaller events. You'll calculate all possible outcomes of combined events, like flipping a coin and rolling a die. Using tree diagrams and simple calculations, you'll visualize the full range of possibilities and figure... see moreout the likelihood of events happening together. By the end, you’ll be comfortable calculating compound probabilities and understanding the outcomes of combined events.
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2) Which method would be MOST useful for showing all possible outcomes when spinning two different spinners?

Explanation

A tree diagram shows each possible path from the first event to the second.

It organizes outcomes clearly, especially when each event has multiple options.

Bar graphs, pie charts, and line plots do NOT show combinations.

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3) A restaurant offers 3 types of bread (white, wheat, rye) and 4 types of meat (turkey, ham, roast beef, chicken). How many different sandwich combinations are possible?

Explanation

 3 bread choices × 4 meat choices = 12 outcomes?

Wait—let’s check:

WHITE → turkey, ham, roast beef, chicken

WHEAT → turkey, ham, roast beef, chicken

RYE → turkey, ham, roast beef, chicken

That’s 3 × 4 = 12.

Correct answer is C (12), not 16.

(Option D is incorrect because 4 meats × 4 breads ≠ 16.)

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4) When flipping a coin twice, which organized list shows ALL possible outcomes?

Explanation



 Each flip has 2 outcomes.

Two flips → 4 combinations:

first H then H





first H then T





first T then H





first T then T

All must be included, so D is correct.
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5) A bag contains a red marble and a blue marble. Another bag contains a green marble and a yellow marble. If you pick one marble from each bag, how many outcomes are in the sample space?

Explanation

Bag 1: red, blue

Bag 2: green, yellow

Possible pairs: (red,green), (red,yellow), (blue,green), (blue,yellow) → 4 outcomes

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6) If you spin the spinner once and roll the number cube once, how many total outcomes are possible?

Explanation

 Spinner: 3 outcomes

Cube: 6 outcomes

3 × 6 = 18

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7) What is the probability of spinning "A" AND rolling a 4?

Explanation

There is exactly one outcome that shows (A, 4).

Out of 18 total outcomes: 1/18.

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8) How would you describe the likelihood of getting "B" and an even number?

Explanation

Even numbers: 2, 4, 6 → 3 choices

Spinner B = 1 choice

So 1 × 3 = 3 favorable outcomes

Total = 18

Probability = 3/18 = 1/6

This is possible, but not very likely.

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9) Which outcome has the same probability as getting "C" and rolling a 2?

Explanation

 (C,2) is one specific pair.

(A,5) is also a single specific pair, so probability is 1/18—the same.

Outcomes involving groups (like “any even number”) have higher probability.

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10) A tree diagram is started for flipping a coin and rolling a 4-sided die. How many branches will extend from EACH coin outcome (H or T)?

Explanation

From each coin outcome (H or T), the next step is rolling a die with 4 outcomes.

So each branch splits into 4 new branches.

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11) Two spinners each have 4 equal sections. The first has colors: red, blue, green, yellow. The second has shapes: circle, square, triangle, star. What is the total number of color–shape combinations?

Explanation

 4 colors × 4 shapes = 16 outcomes

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12) In a sample space table for rolling two number cubes, how many cells (outcomes) would the table contain?

Explanation

 Each cube has 6 outcomes.

A sample space table would be 6 rows × 6 columns = 36 outcomes.

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13) A student creates an organized list for choosing one fruit (apple, banana, orange) and one drink (milk, juice). How many outcomes should be in the complete list?

Explanation

3 fruit options × 2 drink options = 6 total combinations.

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14) How many total outcomes does this tree diagram represent (shirts and colors)?

Explanation

 Sizes: small, medium, large (3)

Colors: black, white (2)

3 × 2 = 6 total outcomes.

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15) What is the probability of selecting a medium black shirt?

Explanation

Only one outcome is “medium + black”

Out of 6 total outcomes → 1/6.

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16) How many branches extend from the "large" shirt option?

Explanation

 Large splits into black and white → 2 branches.

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17) A compound event involves tossing a coin and picking a card from a deck of 4 cards (A, B, C, D). Which probability is closest to 0?

Explanation

Heads = 1/2

Card A = 1/4

Together = 1/8

This is the smallest probability—all others are large probabilities.

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18) An organized list shows 15 total outcomes for a compound event. If the first event has 5 possible outcomes, how many outcomes does the second event have?

Explanation

 5 × (second event outcomes) = 15

So second event = 15 ÷ 5 = 3.

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19) Which compound event has a probability closest to 1?

Explanation

 Getting any outcome when spinning a spinner + rolling a die is always 100% because something must happen.

The others are rare events.

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20) A sample space for choosing a pizza size (small, medium, large) and a topping (pepperoni, mushroom, sausage, olives) contains how many outcomes?

Explanation

Sizes: 3

Toppings: 4

3 × 4 = 12 outcomes.

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A coin is flipped and a number cube (1–6) is rolled. How many...
Which method would be MOST useful for showing all possible outcomes...
A restaurant offers 3 types of bread (white, wheat, rye) and 4 types...
When flipping a coin twice, which organized list shows ALL possible...
A bag contains a red marble and a blue marble. Another bag contains a...
If you spin the spinner once and roll the number cube once, how many...
What is the probability of spinning "A" AND rolling a 4?
How would you describe the likelihood of getting "B" and an even...
Which outcome has the same probability as getting "C" and rolling a 2?
A tree diagram is started for flipping a coin and rolling a 4-sided...
Two spinners each have 4 equal sections. The first has colors: red,...
In a sample space table for rolling two number cubes, how many cells...
A student creates an organized list for choosing one fruit (apple,...
How many total outcomes does this tree diagram represent (shirts and...
What is the probability of selecting a medium black shirt?
How many branches extend from the "large" shirt option?
A compound event involves tossing a coin and picking a card from a...
An organized list shows 15 total outcomes for a compound event. If the...
Which compound event has a probability closest to 1?
A sample space for choosing a pizza size (small, medium, large) and a...
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