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You are taking a multiple-choice test that has 5 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions? You can answer the questions in ways. You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 15 children present in your van. How many different groups of 7 children can you drive? How many different groups of 7 children can you drive? :l In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 42) and matching the number on the gold ball (1 through 32). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is. (Type an integer or a simplified fraction.)You are dealt one card from a 52card deck. Find the probability that you are not dealt a heart. E) The probability is E. (Type an integer or a fraction. Simplify your answer.) The mathematics department of a college has 8 male professors, 11 female professors, 12 male teaching assistants, and 6 female teaching assistants. If a person is selected at random from the group, nd the probability that the selected person is a professor or a male. The probability is . (Type an integer or a fraction. Simplify your answer.) The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the letter's point value. One tile is drawn from Scrabble's 100 tiles. A, F 2 K. P 2 U. 4 Number of tiles Find the probability of selecting a letter worth 8 points. B. 2 G. 3 L 4 V. 2 A C 2 H. 2 M. 2 R. 6 W. 2 Point value D 4 N. 6 S X. E. 12 O 8 T. Y 2 The probability of selecting a letter worth 8 points is (Type an integer or a simplified fraction.)