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Concept explainers
a.
To draw a Venn diagram to illustrate
a.
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Answer to Problem 33PPS
The Venn diagram can be drawn by:
Explanation of Solution
Given information:
Illustrate
The Venn diagram can be drawn by:
b.
To write the formula for
b.
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Answer to Problem 33PPS
The formula is
Explanation of Solution
Given information:
The given statement is:
“Write the formula for
Divide
Hence, the formula is
c.
To find the probability.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 33PPS
The probability
Explanation of Solution
Given information:
The given statement is:
“A jar contains
Calculation :
The probability can be calculated by:
Hence, the probability
d.
To find the probability on choosing a green marble on the second selection.
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 33PPS
The probability of choosing a green marble on the second selection, given that the first marble selected was red is
Explanation of Solution
Given information:
The given statement is:
“Using the probabilities from part c and the Venn diagram in part a, determine the probability of choosing a green marble on the second selection, given that the first marble selected was red.”
Calculation :
The probability can be calculated by:
Hence, the probability of choosing a green marble on the second selection, given that the first marble selected was red is
e.
To write the formula forfinding conditional probability.
e.
![Check Mark](/static/check-mark.png)
Answer to Problem 33PPS
The formula for finding conditional probability is
Explanation of Solution
Given information:
The given statement is:
“Write the formula for finding a conditional probability.”
The formula is:
Hence, the formula for finding conditional probability is
f.
To find the probability that a fan waved a banner and cheered for the home team.
f.
![Check Mark](/static/check-mark.png)
Answer to Problem 33PPS
The probability that a fan waved a banner and cheered for the home team is
Explanation of Solution
Given information:
The given statement is:
“At a basketball game,
Formula used:
The following formula is used:
Calculation:
The probability can be calculated by:
Hence, the probability that a fan waved a banner and cheered for the home team is
Chapter 12 Solutions
Algebra 1
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