(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? O 0, 1, 2, 3, 4, 5, 6; equally likely O 1, 2, 3, 4, 5, 6; not equally likely O 0, 1, 2, 3, 4, 5, 6; not equally likely 1, 2, 3, 4, 5, 6; equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Probability 1/6 Outcome 1 2 3 4 5 6 1/6 1/6 1/6 1/6 1/6 Do the probabilities add up to 1? Should they add up to 1? Explain. Yes, but they should not because these values do not cover the entire sample space. Yes, because these values cover the entire sample space. O No, because these values do not cover the entire sample space. O No, but they should because these values cover the entire sample space. (c) What is the probability of getting a number less than 2 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 4 or 5 on a single throw? (Enter your answer as a fraction.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A5 Q6 Please only complete sub parts c) and d)
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the
outcomes equally likely?
O 0, 1, 2, 3, 4, 5, 6; equally likely
O 1, 2, 3, 4, 5, 6; not equally likely
O 0, 1, 2, 3, 4, 5, 6; not equally likely
1, 2, 3, 4, 5, 6; equally likely
(b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.)
Probability
1/6
1/6
1/6
1/6
1/6
1/6
Outcome
1
2
3
4
5
6
Do the probabilities add up to 1? Should they add up to 1? Explain.
O Yes, but they should not because these values do not cover the entire sample space.
Yes, because these values cover the entire sample space.
O No, because these values do not cover the entire sample space.
No, but they should because these values cover the entire sample space.
(c) What is the probability of getting a number less than 2 on a single throw? (Enter your answer as a fraction.)
(d) What is the probability of getting 4 or 5 on a single throw? (Enter your answer as a fraction.)
Transcribed Image Text:(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? O 0, 1, 2, 3, 4, 5, 6; equally likely O 1, 2, 3, 4, 5, 6; not equally likely O 0, 1, 2, 3, 4, 5, 6; not equally likely 1, 2, 3, 4, 5, 6; equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Probability 1/6 1/6 1/6 1/6 1/6 1/6 Outcome 1 2 3 4 5 6 Do the probabilities add up to 1? Should they add up to 1? Explain. O Yes, but they should not because these values do not cover the entire sample space. Yes, because these values cover the entire sample space. O No, because these values do not cover the entire sample space. No, but they should because these values cover the entire sample space. (c) What is the probability of getting a number less than 2 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 4 or 5 on a single throw? (Enter your answer as a fraction.)
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