(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? (Enter your answers as a comma-separated list of numbers.) Are the outcomes equally likely? The events are not all equally likely. The events are all equally likely. (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Outcome Probability 1 2 3 4 5 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. 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 3 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 1 or 2 on a single throw? (Enter your answer as a fraction.)
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? (Enter your answers as a comma-separated list of numbers.) Are the outcomes equally likely? The events are not all equally likely. The events are all equally likely. (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Outcome Probability 1 2 3 4 5 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. 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 3 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 1 or 2 on a single throw? (Enter your answer as a fraction.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 3E
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Question
If you roll a single die and count the number of dots on top, what is the
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? (Enter your answers as a comma-separated list of numbers.)
Are the outcomes equally likely?
The events are not all equally likely.
The events are all equally likely.
(b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.)
Outcome
Probability
1
2
3
4
5
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.
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 3 on a single throw? (Enter your answer as a fraction.)
(d) What is the probability of getting 1 or 2 on a single throw? (Enter your answer as a fraction.)
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