Find the errors in each of the following statements: (a) The probabilities that

Question

Find the errors in each of the following statements:

(a) The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in February are, respectively, 0.19, 0.38, 0.29, and 0.15.

(b) The probabilities that it will rain tomorrow is 0.40 and the probability that it will not rain tomorrow is 0.52.

(c) The probabilities that a printer will make 0, 1, 2, 3, or 4 or more mistakes in setting a document are, respectively, 0.19, 0.34, -0.25, 0.43, and 0.29.

(d) On a single draw from a deck of playing cards the probability of selecting a hear is ¼, the probability of selecting a black card is ½, and the probability of selecting both a heart and a black card is 1/8.

Explanation / Answer

a) Probabilities for all outcomes in the sample space mist add up to one. This adds up to 1.01. b) If the probability of something happening is a, the probability it won't happen is 1-a. This is computed incorrectly in the example. c) A probability cannot be a negative number; 0 means there is no chance it could happen, you can't have a lesser chance than that. d) You can't draw a heart and a black card at the same time.

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