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8. compare the quantities in column a and column b. column a column b t…

Question

  1. compare the quantities in column a and column b.

column a
column b
the probability of choosing
the probability of choosing
a blue marble from a box
a white marble from a box
a the quantity in column a is greater. b the quantity in column b is greater.
c the quantities are equal.
d the relationship cannot be determined from the information given.

  1. compare the quantities in column a and column b.

column a
column b
p(odd number) when
p(even number) when
choosing from 1, 2, 3
choosing from 1, 2, 3
a the quantity in column a is greater. b the quantity in column b is greater.
c the quantities are equal.
d the relationship cannot be determined from the information given.

Explanation:

Response
Problem 8

Step1: Identify missing info

No data on marble counts provided.

Step2: Evaluate comparability

Cannot calculate either probability.

Step1: Count odd numbers in set

Odd numbers: 1, 3 (total 2)
Total numbers: 3
$P(\text{odd}) = \frac{2}{3}$

Step2: Count even numbers in set

Even number: 2 (total 1)
Total numbers: 3
$P(\text{even}) = \frac{1}{3}$

Step3: Compare the two probabilities

$\frac{2}{3} > \frac{1}{3}$

Answer:

[D] The relationship cannot be determined from the information given.

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Problem 9