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16.) A boy owns 7 pairs of pants, 6 shirts, 8 ties, and 4 jackets. How many different outfits can he wear to school
16.) A boy owns 7 pairs of pants, 6 shirts, 8 ties, and 4 jackets. How many different outfits can he wear to school if he must wear one of each item? He can wear different outfits. 17.) There are 11 members on a city council. At a recent city council meeting, 6 of the council members voted in favor of a budget increase. How many possible groups of council members could have voted in favor? Will the calculation involve permutations or combinations? A. B. permutations combinations There are possible groups of 6 city council members who voted in favor of the budget increase. 18.) Ashton owns all nine books in the Judy Moody series. In how many different orders can she place all of them on the top shelf of her bookshelf? 19.) A total of 15 horses compete in the horse race, the Preakness Stakes. In how many different ways can the top 2 positions be arranged? Will the calculation involve permutations or combinations? A. B. combinations permutations There are possible ways in which the top 2 finishers can be arranged. 23.) + 24 34 10 N >> 40 20 IN As shown above, a classic deck of cards is made up of 52 cards. Suppose one card is selected at random and calculate the following probabilities. Round solutions to three decimal places, if necessary. 3A The probability that a Heart or Spade is selected is The probability that a number smaller than 5 (counting the ace as a 1) is selected is 24.) The probability that a 4 of Clubs is selected is 34 M4 Me N ON of 24 NO 50 31 31 3+ N 20 +2 4> As shown above, a classic deck of cards is made up of 52 cards. Suppose one card is selected at random and calculate the following probabilities. Round solutions to three decimal places, if necessary. The probability that a 3 or a Diamond is selected is The probability that a face card or Diamond is selected is The probability that the selected card is both a face card and a Diamond is 25.) Suppose that probability that a randomly selected IRSC students is at least 22 years old is 0.39. Round solutions to three decimal places, if necessary. What is the probability that a randomly selected IRSC student is less than 22 years old? P(the student is less than 22 years old) = Suppose two IRSC students are selected at random and calculate the following probabilities. P(Both students are at least 22 years old) = P(Both students are less than 22 years old) = P(the first student is at least 22 years old and the second student is less than 22 years old) = 26.) The probability that a randomly selected IRSC student is an athlete is 0.17. The probability that a randomly selected IRSC student is a biology major is 0.11. The probability that a randomly selected IRSC student is a biology major and an athlete is 0.07. Calculate the following probabilities. Round solutions to three decimal places, if necessary. Determine the probability that a randomly selected IRSC student is a biology major, given the student is an athlete. Pbiology major | athlete) = Determine the probability that a randomly selected IRSC student is an athlete, given the student is a biology major. P(athlete | biology major)=-
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