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 5 (count aces high). (Enter your answer as a fraction.)

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 5 (count aces high). (Enter your answer as a fraction.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 5 (count aces high). (Enter your answer as a fraction.)

(c) Are the events "being dealt a jack" and "being dealt a card above a 5" 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 5" mutually exclusive? Why?

Yes, a jack is never above a 5.

No, a jack is above a 5.

(e) Interpret the results of parts (c) and (d).

Independent events are never mutually exclusive.

Dependent events are never mutually exclusive.

Dependent events are always mutually exclusive.

Dependent events are not necessarily mutually exclusive.

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