5 10 Which of the following numbers could not be probabilities and why a 125 b 0 74 c 0 001 d 5 61 e 150 TRY 5 11 Playing Cards Example 2 There are four suits clubs diamonds hearts and spades 4 and the following cards appear in each suit ace 2 3 4 5 6 7 8 9 10 jack queen king The jack queen and king are called face cards because they have a drawing of a face on them Diamonds and hearts are red and clubs and spades are black If you draw 1 card randomly from a standard 52 card playing deck what is the probability that it will be a A heart b A red card c An ace d A face card jack queen or king e A three 5 12 Playing Cards Refer to Exercise 5 11 for information about cards If you draw 1 card randomly from a standard 52 card playing deck what is the probability that it will be a A black card b A diamond c A face card jack queen or king d A nine e A king or queen 5 13 Guessing on Tests a On a true false quiz in which you are guessing what is the probability of guessing correctly on one question b What is the probability that a guess on one true false question will be incorrect 5 14 Guessing on Tests Consider a multiple choice test with a total of four possible options for each question a What is the probability of guessing correctly on one question Assume that there are three incorrect options and one correct option b What is the probability that a guess on one question will be incorrect TRY 5 15 Four Children Example 3 The sample space given here shows all possible sequences for a family with 4 children where B stands for boy and G stands for girl GGGG GGGB GGBB GBBB BBBB GGBG GBGB BGBB GBGG GBBG BBGB BGGG BGGB BBBG BGBG BBGG Assume that all of the 16 outcomes are equally likely Find the probability of having the following numbers of girls out of Hint The probability of having 3 girls and a boy is 4 16 or 25 because the second column shows that there are 4 ways to have 3 girls and I boy 5 16 Three Coins The sample shows the possible sequences for flipping three fair coins or flipping one coin three times where H stands for heads and T stands for tails HHH HHT HTH THH Assume that all of the 8 outcomes are equally likely Find the probability of having exactly the following numbers of heads out of the 3 coins a exactly 0 heads b exactly 1 head c exactly 2 heads d exactly 3 heads e What do the four probabilities add up to and why No HTT THT TTH 5 17 Birthdays What is the probability that a baby will be born on a Friday OR a Saturday OR a Sunday if all the days of the week are equally likely as birthdays 5 18 Playing Cards If one card is selected from a well shuffled deck of 52 cards what is the probability that the card will be a club OR a diamond OR a art What is probab of the complement of this event Refer to Exercise 5 11 for information about cards Unsure Yes TTT 5 19 College Poll A StatCrunch poll asked people if college was worth the financial investment They also asked the respondent s gender The table shows a summary of the responses Source StatCrunch Responses to Is college worth it Owner scsurvey All Female Male 45 56 100 96 577 401 722 553 All 101 196 978 1275 a If a person is chosen randomly from the group what is the probability that the person is male b If a person is chosen randomly from the group what is the probability that the person said Yes 5 20 College Poll Refer to the table given for Exercise 5 19 a If a person is chosen randomly what is the probability that the person is female b If a person is chosen randomly what is the probability that the person said No TRY 5 21 College Poll AND Example 4 Refer to the table given for Exercise 5 19 If a person is chosen randomly from the group what is the probability that the person is female AND said Yes 5 22 College Poll AND Refer to the table given for Exercise 5 19 If a person is chosen randomly from the group what is the probability that the person is male AND said No TRY 5 23 College Poll OR Example 5 Refer to the table given for Exercise 5 19 a If a person is chosen randomly from the group what is the probability