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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Sample Spaces and The Counting Principle
Name___________________________________
Date________________ Period____
Represent the sample space using set notation.
1) A sandwich shop has three types of
sandwiches: ham, turkey, and chicken.
2) The chess club must decide when to meet
for a practice. The possible days are
Tuesday, Wednesday, or Thursday.
3) The chess club must decide when to meet
for a practice. The possible days are
Tuesday, Wednesday, or Thursday. The
possible times are 3, 4, or 5 p.m.
4) When a button is pressed, a computer
program outputs a random odd number
greater than 1 and less than 9. You press
the button twice.
5) A spinner can land on either red or blue.
You spin and then roll a six-sided die.
6) There are two boys and a girl on a trivia
team. Two questions remain. One team
member is randomly picked to answer the
first question and a different member is
picked to answer the second question.
Find the number of possible outcomes in the sample space.
7) A jewelry store sells gold and platinum
rings. Each ring is fitted with a ruby,
sapphire, emerald, or diamond gemstone.
8) A spinner can land on either red, blue, or
green. You spin twice.
9) Eight rooms in a house need to be painted.
Each room can be painted white or
yellow.
10) Six books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Sample Spaces and The Counting Principle
Name___________________________________
Date________________ Period____
Represent the sample space using set notation.
1) A sandwich shop has three types of
sandwiches: ham, turkey, and chicken.
{ham, turkey, chicken}
2) The chess club must decide when to meet
for a practice. The possible days are
Tuesday, Wednesday, or Thursday.
{Tuesday, Wednesday, Thursday}
3) The chess club must decide when to meet
for a practice. The possible days are
Tuesday, Wednesday, or Thursday. The
possible times are 3, 4, or 5 p.m.
{(T, 3), (T, 4), (T, 5),
(W, 3), (W, 4), (W, 5),
(R, 3), (R, 4), (R, 5)}
4) When a button is pressed, a computer
program outputs a random odd number
greater than 1 and less than 9. You press
the button twice.
{(3, 3), (3, 5), (3, 7),
(5, 3), (5, 5), (5, 7),
(7, 3), (7, 5), (7, 7)}
5) A spinner can land on either red or blue.
You spin and then roll a six-sided die.
{(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6),
(B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
6) There are two boys and a girl on a trivia
team. Two questions remain. One team
member is randomly picked to answer the
first question and a different member is
picked to answer the second question.
{(B₁, B₂), (B₁, G),
(B₂, B₁), (B₂, G),
(G, B₁), (G, B₂)}
Find the number of possible outcomes in the sample space.
7) A jewelry store sells gold and platinum
rings. Each ring is fitted with a ruby,
sapphire, emerald, or diamond gemstone.
8) A spinner can land on either red, blue, or
green. You spin twice.
9) Eight rooms in a house need to be painted.
Each room can be painted white or
yellow.
10) Six books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.
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