Tarjetas de estudio
Week 4: Probability Terminology and Notation
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Question
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 4 is an example of which of the following events? Select all correct answers.
R OR O
B AND O
R OR E
R AND O
R′
E′
Question
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let ...
Answer Explanation
Correct answer:
R OR E
R′
Because the card is blue and the number is even, the card is an example of B and E. Therefore, it is also an example of R OR E and R′.
Question
People with some college education stay married to their spouses for at least twenty years at a rate of 67%. How likely is it that a randomly selected, college educated couple will be married for at least twenty years?
Yes that's right. Keep it up!
Very likely, the probability is close to 1.
Somewhat likely, the probability is closer to 1 than to 0.
Unlikely, the probability is close to 0.
Somewhat unlikely, the probability is closer to 0 than it is to 1.
Equally likely, the probability is 0.5
Question
People with some college education stay married to their spouses for at least twenty years ...
Answer Explanation
Correct answer:
Somewhat likely, the probability is closer to 1 than to 0.
Here, we would be most correct to say that the probability is somewhat likely .
It is not closer to 0 than it is to 1, so it is not appropriate to call it "unlikely" or "somewhat unlikely."
It is not very close to 1, so it is not quite appropriate to call it "likely".
It is false to call it "equally likely" since the probability isn't 0.5.
We settle on "somewhat likely," since it is closer to 1 than to 0 but isn't that close to 1.
Question
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an outcome of which of the following events? Select all correct answers.
Well done! You got it right.
R OR O
R OR E
B AND O
R′
B′
B AND E
Question
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the...
Answer Explanation
Correct answer:
R OR E
R′
B AND E
Because the card is blue and the number is even, the card is an outcome of B and E.
Because the card is even, it is an outcome of R OR E.
Because the card is both blue and even, it is an outcome of B AND E.
Because the card is not red, it is an outcome of R′.
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