Subjective probabilities consistent with the axioms

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1. Mrs. Jones predicts that if it rains tomorrow it is bound to rain the day after tomorrow. She also thinks that the chance of rain tomorrow is 1/2 and that the chance of rain the day after tomorrow is 1/3. Are these subjective probabilities consistent with the axioms and theorems of probability?

2. In which of the following are events and mutually exclusive?

(a) Roll two dice. is the event of a sum of 9; is the event of a double (i.e., the same value on both dice).

(b) Draw 13 cards from a deck of 52 cards. is the event of drawing at least one club; is the event of drawing no aces.

(c) Toss a coin twice. is the event of a head on the first toss; is the event of a head on the second toss.

Reference no: EM13983721

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