Concept explainers
(a)
To find:The
(a)
Answer to Problem 7WE
The sample space for this experiment is {(R,R),(R,B),(R,Y),(R,G),(B,R),(B,B),(B,Y),(B,G)}.
Explanation of Solution
Given:
Two bags contain marbles. The first bag contains a red and a blue marble and the second bag contains a red, a blue, a yellow and a green marble.
Calculation:
Sample space is the set of the possible outcomes.
The sample space for this experiment is {(R,R),(R,B),(R,Y),(R,G),(B,R),(B,B),(B,Y),(B,G)}
Thus, the sample space for this experiment is {(R,R),(R,B),(R,Y),(R,G),(B,R),(B,B),(B,Y),(B,G)}.
(b)
To find:The event that at least one red marble is drawn.
(b)
Answer to Problem 7WE
The event that at least one red marble is drawn is {( R,B),(R,Y),(R,G),(B,R)}.
Explanation of Solution
Given:
Two bags contain marbles. The first bag contains a red and a blue marble and the second bag contains a red, a blue, a yellow and a green marble.
Calculation:
Sample space is the set of the possible outcomes.
The sample space for this experiment is {(R,R),(R,B),(R,Y),(R,G),(B,R),(B,B),(B,Y),(B,G)}.
The sample space for the given condition is {( R,B),(R,Y),(R,G),(B,R)}.
Thus, the event that at least one red marble is drawn is {( R,B),(R,Y),(R,G),(B,R)}.
(c)
To find:The event when neither marble drawn is blue.
(c)
Answer to Problem 7WE
The event when neither marble drawn is blue is {(R,R),(R,Y),(R,G)}.
Explanation of Solution
Given:
Two bags contain marbles. The first bag contains a red and a blue marble and the second bag contains a red, a blue, a yellow and a green marble.
Calculation:
Sample space is the set of the possible outcomes.
The sample space for this experiment is {(R,R),(R,B),(R,Y),(R,G),(B,R),(B,B),(B,Y),(B,G)}.
The sample space for the given condition is {(R,R),(R,Y),(R,G)}.
Thus, the event when neither marble drawn is blue is {(R,R),(R,Y),(R,G)}.
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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