A card is dealt from a full deck (no jokers). (a) Find the probability of being dealt a jack. (Enter your answer as a fraction.) (b) Find the probability of being dealt a jack given that you were dealt a card above a 6 (count aces high). (Enter your answer as a fraction.) (c) Are the events "being dealt a jack" and "being dealt a card above a 6" independent? Why? Yes, being dealt higher cards does not change the probability of getting a jack. No, being dealt higher cards increases the probability of getting a jack.
A card is dealt from a full deck (no jokers). (a) Find the probability of being dealt a jack. (Enter your answer as a fraction.) (b) Find the probability of being dealt a jack given that you were dealt a card above a 6 (count aces high). (Enter your answer as a fraction.) (c) Are the events "being dealt a jack" and "being dealt a card above a 6" independent? Why? Yes, being dealt higher cards does not change the probability of getting a jack. No, being dealt higher cards increases the probability of getting a jack.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 35E
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
A card is dealt from a full deck (no jokers).
(a) Find the probability of being dealt a jack. (Enter your answer as a fraction.)
(b) Find the probability of being dealt a jack given that you were dealt a card above a 6 (count aces high). (Enter your answer as a fraction.)
(c) Are the events "being dealt a jack" and "being dealt a card above a 6" independent? Why?
- Yes, being dealt higher cards does not change the probability of getting a jack.
- No, being dealt higher cards increases the probability of getting a jack.
(d) Are the events "being dealt a jack" and "being dealt a card above a 6" mutually exclusive? Why?
- Yes, a jack is never above a 6.
- No, a jack is above a 6.
(e) Interpret the results of parts (c) and (d).
- Dependent events are never mutually exclusive.
- Independent events are never mutually exclusive.
- Dependent events are always mutually exclusive.
- Dependent events are not necessarily mutually exclusive.
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