ACTIVITY 1: DIRECTIONS: Analyze the problem carefully. Answer the questions that follow. A. James rolls a six-sided die and observes its value, then Jim draws a card from a standard deck of cards and observes its color. Let A be the event that the value of a die is 2, and let B be the event that the card is black. James Jim a. Find the sample space S. b. Find the event A U B. c. Find the event A n B. d. Find the Be B. Allan and John randomly select a letter from the alphabet and the sample space S is the set of all 26 letters of the alphabet. Let N = {c, d, e, f, g), let M = (a, e, i, o, u), and let P = {o. p. q. r}. a. Find the event NU Mº. b. Find the event Nº UMC U PC.
ACTIVITY 1: DIRECTIONS: Analyze the problem carefully. Answer the questions that follow. A. James rolls a six-sided die and observes its value, then Jim draws a card from a standard deck of cards and observes its color. Let A be the event that the value of a die is 2, and let B be the event that the card is black. James Jim a. Find the sample space S. b. Find the event A U B. c. Find the event A n B. d. Find the Be B. Allan and John randomly select a letter from the alphabet and the sample space S is the set of all 26 letters of the alphabet. Let N = {c, d, e, f, g), let M = (a, e, i, o, u), and let P = {o. p. q. r}. a. Find the event NU Mº. b. Find the event Nº UMC U PC.
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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Transcribed Image Text:SAMPLE SPACE, OUTCOMES, AND EVENTS
ACTIVITY 1:
DIRECTIONS: Analyze the problem carefully. Answer the questions that follow.
A. James rolls a six-sided die and
observes its value, then Jim draws a
card from a standard deck of cards and
observes its color. Let A be the event
that the value of a die is 2, and let B be
the event that the card is black.
James
Jim
a. Find the sample space S.
b. Find the event A U B.
c. Find the event A n B.
d. Find the Bº
B. Allan and John randomly select a letter from the alphabet and the sample space S
is the set of all 26 letters of the alphabet. Let N = {c, d, e, f, g), let M = (a, e, i, o, u},
and let P = {o, p, q, r}.
a. Find the event N U Mº.
b. Find the event Nº UMC U PC.
C. Marc is tossing a coin three times, he observes whether it is showing heads or
tails each time, and order matters. Let H be the event that there is a head, let T be
the event that there is a tail, and let N be the event that there are two tails.
a. Draw a tree diagram and find the sample space S.
b. Find the event H.
c. Find the event TON
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