Five coins are tossed. a. Give an example of a simple event. b. Give an example

Question

Five coins are tossed. a. Give an example of a simple event. b. Give an example of a joint event. c. What is the complement of getting a tail on the fourth coin? d. What does the sample space consist of? a. Give an example of a simple event. Which of the following is a simple event? A. O B. Getting a head on the second coin Getting a tail on the first coin and a tail on the fourth coin C. Getting a tail on all coins O D. Getting a head on no coins b. Give an example of a joint event. Which of the following is a joint event? 0 A. Getting a head or a tail on the fourth coin B. ° C. 0 D. Not getting a head on the second coin Not getting a head on the first coin Getting a tail on the fifth coin and a tail on the third coin c. What is the complement of getting a tail on the fourth coin? Which of the following is the complement of getting a tail on the fourth coin? A. Getting a head on all coins O B. Getting a head on the fourth coin and a tail on all others C. Getting a tail on the fourth coin and a head on all others 0 D. Getting a head on the fourth coin

Explanation / Answer

(a) Correct option:

A. Getting a head on the second coin

EXPLANATION: Simple event is the event which happens at a time and will have a single outcome.

(b) Correct option:

D. Getting a tail on the fifth coin and a tail on the third coin

EXPLANATION: Joint event is the likelihood of two events occurring together.

(c) Correct option:

B. Getting a head of the fourth coin and a tail on all others

EXPLANATION: Complement of an event is all outcomes that are not the event.

(d) Correct option:

B. Getting a head or tail on any of the five coins.

EXPLANATION: Sample space is the set of all possible outcomes of the experiment.

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