Two fair 5-sided dice are rolled and the numbers shown uppermost are observed. Find the number of outcomes in the following events. The sum of the numbers is 8 A 5 is rolled. X A 2 is rolled or the sum of the dice is no more than 3. X A jar contains 4 marbles numbered 1 through 4. An experiment consists of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card (hearts, diamonds, clubs, or spades) How many outcomes are in the sample space for this experiment? How many outcomes are in the event "an even number is drawn?" How many outcomes are in the event "a number more than 2 is drawn and a red card is drawn?" How many outcomes are in the event "a number less than 2 is drawn or a club is not drawn?"

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply...
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Two fair 5-sided dice are rolled and the numbers shown uppermost are observed. Find the number of outcomes in the
following events.
The sum of the numbers is 8
A 5 is rolled.
X
A 2 is rolled or the sum of the dice is no more than 3.
X
Transcribed Image Text:Two fair 5-sided dice are rolled and the numbers shown uppermost are observed. Find the number of outcomes in the following events. The sum of the numbers is 8 A 5 is rolled. X A 2 is rolled or the sum of the dice is no more than 3. X
A jar contains 4 marbles numbered 1 through 4. An experiment consists of randomly selecting a marble from the jar,
observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card
(hearts, diamonds, clubs, or spades)
How many outcomes are in the sample space for this experiment?
How many outcomes are in the event "an even number is drawn?"
How many outcomes are in the event "a number more than 2 is drawn and a red card is drawn?"
How many outcomes are in the event "a number less than 2 is drawn or a club is not drawn?"
Transcribed Image Text:A jar contains 4 marbles numbered 1 through 4. An experiment consists of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card (hearts, diamonds, clubs, or spades) How many outcomes are in the sample space for this experiment? How many outcomes are in the event "an even number is drawn?" How many outcomes are in the event "a number more than 2 is drawn and a red card is drawn?" How many outcomes are in the event "a number less than 2 is drawn or a club is not drawn?"
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