For each of the following, list the sample space and tell whether you think the events are equally likely: a) Roll two dice; record the sum of the numbers b)A family has 3 children; record each child's sex in order of birth c) Toss four coins; record the number of tails d) Toss a coin 10 times; record the length of the longest run of heads a) Identify the sample space. Choose the correct answer below. O A. S={1, 2, 3, 4, 5, 6} O B. S={1, 2, 3, 4, 5, 6) and {1, 2, 3, 4, 5, 6} O C. S={2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} O D. S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} The events equally likely. b) Identify the sample space. Choose the correct answer below. O A. S={BBG, BGB, BGG, GBB, GBG, GGB} O B. S={BBB, GGG} O C. S= {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG} O D. S={BBB, BBG, BGG, GGG} The events equally likely. c) Identify the sample space. Choose the correct answer below. O A. S= (0, 1, 2, 3} O B. S= {0. 1. 2. 3. 4)
For each of the following, list the sample space and tell whether you think the events are equally likely: a) Roll two dice; record the sum of the numbers b)A family has 3 children; record each child's sex in order of birth c) Toss four coins; record the number of tails d) Toss a coin 10 times; record the length of the longest run of heads a) Identify the sample space. Choose the correct answer below. O A. S={1, 2, 3, 4, 5, 6} O B. S={1, 2, 3, 4, 5, 6) and {1, 2, 3, 4, 5, 6} O C. S={2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} O D. S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} The events equally likely. b) Identify the sample space. Choose the correct answer below. O A. S={BBG, BGB, BGG, GBB, GBG, GGB} O B. S={BBB, GGG} O C. S= {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG} O D. S={BBB, BBG, BGG, GGG} The events equally likely. c) Identify the sample space. Choose the correct answer below. O A. S= (0, 1, 2, 3} O B. S= {0. 1. 2. 3. 4)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Transcribed Image Text:For each of the following, list the sample space and tell whether you think the events are equally likely:
a) Roll two dice; record the sum of the numbers
b)A family has 3 children; record each child's sex in order of birth
c) Toss four coins; record the number of tails
d) Toss a coin 10 times; record the length of the longest run of heads
a) Identify the sample space. Choose the correct answer below.
O A. S={1,2, 3, 4, 5, 6}
O B. S={1, 2, 3, 4, 5, 6} and {1, 2, 3, 4, 5, 6}
O C. S={2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
O D. S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The events
V equally likely.
b) Identify the sample space. Choose the correct answer below.
O A. S={BBG, BGB, BGG, GBB, GBG, GGB}
O B. S={BBB, GGG}
O C. S={BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}
O D. S= {BBB, BBG, BGG, GGG}
The events
equally likely.
c) Identify the sample space. Choose the correct answer below.
O A. S= {0, 1, 2, 3}
O B. S={0. 1. 2. 3. 4}
Statcrunch
Transcribed Image Text:For each of the following, list the sample space and tell whether you think the events are equally likely:
a) Roll two dice; record the sum of the numbers
b)A family has 3 children; record each child's sex in order of birth
c) Toss four coins; record the number of tails
d) Toss a coin 10 times; record the length of the longest run of heads
O C. S={BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}
O D. S={BBB, BBG, BGG, GGG}
The events
equally likely.
c) Identify the sample space. Choose the correct answer below.
O A. S= {0, 1, 2, 3}
O B. S= {0, 1, 2, 3, 4}
O C. S={TTTT, TTTH, TTHT, TTHH, THTT, THTH, THHT, THHH, HTTT, HTTH, HTHT, HTHH, HHTT, HHTH, HHHT, HHHH}
O D. S={1, 2, 3, 4}
The events
Vequally likely.
d) Identify the sample space. Choose the correct answer below.
O A. S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
O B. S= {1, 2, 3, 4, 5}
O C. S= {0, 1, 2, 3, 4, 5}
O D. S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
The events
V equally likely.
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