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ARTS1362-Critical Thinking (T3 25)

ARTS1362-Critical Thinking (T3 25)

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Which of the following scenarios are clear examples of dependent outcomes?

Drawing two cards from the same deck without replacement, and getting two aces.

Drawing two cards from the same deck with replacement, and getting two aces.

Drawing two cards from the same deck without replacement, and getting an ace and a queen.

Rolling a '3' on a six-sided die and then rolling a prime number on a second, identical die.

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Events A and B are mutually independent, with P(A)=0.3 and P(B)=0.6. What is the conditional probability P(A|B)?

P(A|B)=0.3

P(A|B)=0.5

P(A|B)=0

P(A|B)=0.6

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Consider two outcomes, each with non-zero probability, A and B. Which of the following statements regarding A and B are impossible?

A and B are mutually exclusive.

A and B are mutually exclusive and independent.

A and B are mutually exclusive and P(A|B)>0.

A and B are independent.

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If two outcomes, A and B, are mutually exclusive, which of the following statements about their joint probability P(A&B) is correct?

P(A&B)=P(A)+P(B)-P(A∨B)

P(A&B)=P(A)+P(B)

P(A&B)=0

P(A&B)=P(A)×P(B)

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Consider the thinking of the royal family in Hans Christian Andersen’s story The Princess and the Pea, as reported here: “Now they knew she was a real princess, since she had felt the pea through twenty mattresses and twenty quilts! Only a real princess could be so sensitive". Does this constitute an argument? What is its conclusion?

It is an argument, and the conclusion is "they knew she was a real princess".

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Not an argument.

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It is an argument, and the conclusion is "Only a real princess could be so sensitive".

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It is an argument, and the conclusion is "she was a real princess"

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Either your thinking is logical or it is emotional, and you are not being logical.

It is an argument, but it has no conclusion.

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