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These are the notes of Exercise of Statistics. Key important points are: Probabilities, Theoretical Probability, Formula, Lowest Terms, Outcomes, Dealt, Rolled Twice
Typology: Exercises
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Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.
(^) A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 7.
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 6.
(^) You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
(^) A single die is rolled twice. The set of 36 equally likely outcomes is {(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),}. Find the probability of getting two numbers whose sum is less than 13.
Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on 3 or 4.
Prestatistics
Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then express the probability as a decimal, rounded to the nearest thousandth, if necessary.
The chart below shows the percentage of people in a questionnaire who bought or leased the listed car models and were very satisfied with the experience.
Model A 81% Model B 79% Model C 73% Model D 61% Model E 59% Model F 57%
. What is the model?
Solve the problem.
(^) Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party. They arrive randomly and each person arrives at a different time. In how many ways can they arrive? In how many ways can Jean arrive first and Keith last? Find the probability that Jean will arrive first and Keith will arrive last.
(^) Six students, A, B, C, D, E, F, are to give speeches to the class. The order of speaking is determined by random selection. Find the probability that (a) E will speak first (b) that C will speak fifth and B will speak last (c) that the students will speak in the following order: DECABF (d) that A or B will speak first.
Prestatistics
Answer Key Testname: 31_PROBABILITIES
0 2)^16
133
1 5)^25
100 35 ; 0.
C
720; 24; 301
9)^16 ; 24 1 ; 720 1 ; (^13)
165; 20; 334
5985 1 ; 17168
338
Prestatistics