Download Statistics 3.1—Sample space review Name: Recall that the sample

Statistics
3.1—Sample space review
Name: _______________________
Recall that the sample space of a probability experiment is
Identify the sample space for each of the probability experiments below.
1) Flipping a coin.
2) Rolling a 6-sided die.
3) A spinner has 4 equal sectors colored yellow, blue, green and red.
4) A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles.
5)
6)
7)
8)
9)
10) You roll two 6-sided die.
a) Use the fundamental counting principle to find the number of outcomes.
b) List the sample space.
11) A family has two children.
a) Use the fundamental counting principle to find the number of outcomes.
b) List the sample space.
12) You flip a coin three times.
a) Use the fundamental counting principle to find the number of outcomes.
b) List the sample space.
Answers:
Recall that the sample space of a probability experiment is : a list of all possible outcomes from
the experiment.
Identify the sample space for each of the probability experiments below.
1) Flipping a coin. {H, T}
2) Rolling a 6-sided die. {1, 2, 3, 4, 5, 6 }
3) A spinner has 4 equal sectors colored yellow, blue, green and red.
{yellow, blue, green, red}
4) A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles.
(red, green, green, green, blue, blue, yellow, yellow, yellow, yellow}
5)
6)
7)
8)
9)
10) A) 6*6 = 36
B) sample space {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3),
(5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
11. A) 2 *2 = 4 outcomes
B) {(BB, BG, GB, GG}
12. A) 2*2*2=8
B) {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}