4. An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin: a. list the elements corresponding to tne event A that a number less than 3 occurs on the die; b. list the elements corresponding to the event B that two tails occur; c. list the elements corresponding to the event A'; d. list the elements corresponding to the event A’OB; e. list the elements corresponding to the event AUB; f. list all the subsets of event B that have exactly 2 elements. 5. Construct a Venn diagram to illustrate the possible intersections and unions for the following events relative to the sample space consisting of all automobiles made in the United States. A : Four door, B : Sun roof, C: Power steering. Shade the areas representing the following events: a. (A N B)'; b. (A U B)'; c. (AN C) U B.

4. An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin: a. list the elements corresponding to tne event A that a number less than 3 occurs on the die; b. list the elements corresponding to the event B that two tails occur; c. list the elements corresponding to the event A'; d. list the elements corresponding to the event A’OB; e. list the elements corresponding to the event AUB; f. list all the subsets of event B that have exactly 2 elements. 5. Construct a Venn diagram to illustrate the possible intersections and unions for the following events relative to the sample space consisting of all automobiles made in the United States. A : Four door, B : Sun roof, C: Power steering. Shade the areas representing the following events: a. (A N B)'; b. (A U B)'; c. (AN C) U B.

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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