Explain why there must be a mistake in each of the following statements:

a. The probability that Jean will pass the bar examination is 0.66 and the probability that she will not pass is -0.34.

b. The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will win or tie the game is 0.95.

c. The probabilities that a secretary will make 0, 1, 2, 3, 4, or 5 or more mistakes in typing a report are, respectively, 0.12, 0.25, 0.36, 0.14, 0.09, and 0.07.

d. The probabilities that a bank will get 0, 1, 2, or 3 or more bad checks on any given day are, respectively, 0.08, 0.21, 0.29, and 0.40.

e. The probability that it will rain is 0.67, and the probability that it will rain or snow is 0.55. f. The probability that a student will get a passing grade in English is 0.82, and the probability that she will get a passing grade in English and French is 0.86.