Question

Quiz#3 4) 80 students enter a Ping-Pong tournament. Sex and class in school classify them. The results are in the table 1) Using the numbers 1, 2,6, 5 and 8, a math whiz wants to construct a three-digit number that must satisfy the following conditions. Repetitions are allowed outside of the conditions listed below. a) The 3 digit number must be divisible by 2 b) The 3 digit number must be divisible by 10 c) The digit must be divisible by 5 Juniors 15 23 Seniors 17 25 Males Females 48 42 18O a) If a person is selected at random, what is the probability that the person is a junior or female? If a person is selected at random, what is the probability that the person is a male given that he is a senior? If a person is selected at random, what is the probability that the person is a senior given that the person is a female? b) 2) c) Two dice are rolled one time, find these probabilities: a) Getting a sum of 9, P b) Getting a sum that is greater than 7 or prime. P#T8 c) Getting a sum of 4 or 9. P 310 Two cards are drawn from a deck without replacement. Find the following probabilities. 3) 5) From 100 tickets in a hat, three tickets are to be chosen at random. The holders of the winning tickets are to be awarded free trips to Hawaii. In how many ways can the 3 winners be selected?1 (a) The first card is a jack and a diamond (b) The second card is a heart given that the first card was the jack of diamonds. (c) The first card is the jack of diamonds and the second card is a king of diamonds.

Answer 1