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Provide an appropriate response. 10) Classify the statement as an example of cla

ID: 2932686 • Letter: P

Question

Provide an appropriate response. 10) Classify the statement as an example of classical probability, empirical probability, or subjective 10) probability. In California's Pick Three lottery, a person selects a 3-digit number. The probability of winning Califomia's Pick Three lottery is 1000 A) subjective probability B) classical probability C) empirical probability 11) Classify the statement as an example of classical probability, empirical probability, or subjective C) subjective probability 12) Classify the statement as an example of classical probability, empirical probability, or subjective C) empirical probability 11) probability. The probability that it will rain tomorrow is 21%. B) empirical probability A) classical probability 12) probability. The probability that a train will be in an accident on a specific route is 1%. A) classical probability B) subjective probability 13) Classify the events as dependent or independent. The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is replaced before the second card is drawn. A) dependent 14) Classify the events as dependent or independent. Events A and B where PlA) = 0.7, P(B) =0.7, and P(A and B)-0.49 B) dependent 15) Classify the events as dependent or independent. The events of getting two aces when two cards 15) are drawn from a deck of playing cards and the first card is not replaced before the second card is drawn. B) dependent

Explanation / Answer

10) The probability of 1/1000 is calculated as the ratio of one to the number of three digit numbers (0 to 999).

This is a theoritical calculation. Therefore this is an example of classical probability.

11) The probability that it will rain tomorrow is 21%.

Since there is no theoritical calculation nor empirical data to estimate the possibility of rain, this is an example of subjective probability.

12) Since there is no data to actually verify the claim, this is an example of subjective probability.

13) Since the first card is replaced, there will be 52 cards again after first draw and the outcome of the second will not depend on the first.

The events are B) independent.

14) P(A) = 0.7 P(B) = 0.7

Since P(A) * P(B) = 0.7 * 0.7 = 0.49 which is equal to P(A and B), the events are A) independent.

15) After an ace is drawn, there will only be three aces left. The outcome of second event depends on the first.

The events are B) dependent.

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