PLEASE DO THE FOLLOWING NUMBER P.387#10,16,20,22,24 with explanation and answer

Section 8.4 Probability 387 7. Dice A pair of well-balanced dice is tossed. Find the 20. Jelly Bean Selection Two bags contain colored jelly beans. probability that the sum of the numbers is (a) 8; (b) 2 or 3; (c) 3, Bag 1 contains three red and two green jelly beans, and bag 2 4, or 5; (d) 12 or 13; (e) even; (1) odd; and (g) less than 10. contains four red and five green jelly beans. A jelly bean is 8. Dice A pair of fair dice is tossed. Determine the probability selected at random from each bag. Find the probability that that at least one die shows a 1 or a 6. (a) both jelly beans are red and (b) one jelly bean is red and the 9. Card Selection A card is randomly selected from a standard other is green deck of 52 playing cards. Determine the probability that the card 21. Committee Selection From a group of three women and is (a) the king of hearts, (b) a diamond, (c) a jack, (d) red, (e) a four men, two persons are selected at random to form a committee. heart or a club, (f) a club and a 4, (p) a club or a 4, (h) red and a Find the probability that the committee consists of women only. king, and (I) a spade and a heart. 21. Committee Selection For the committee selection in 10. Coin and Die A fair coin and a fair die are tossed. Find the Problem 21, find the probability that the committee consists of probability that (a) a head and a 5 show, (b) a head shows, (c) a 3 a man and a woman. shows, and (d) a head and an even number show. 23. Examination Score A student answers each question on a 11. Coin, Die, and Card A fair coin and a fair die are tossed, 10-question multiple-choice examination in a random fashion. For and a card is randomly selected from a standard deck of 52 each of the questions there are 3 possible choices. If each question playing cards. Determine the probability that the coin, die, and is worth 10 points, what is the probability that the student scores card, respectively, show (a) a head, a 6, and the ace of spades; 100 points? (b) a head, a 3, and a queen; (c) a head, a 2 or 3, and a queen; and 24. Multiple-Choice Examination On an eight-question, (d) a head, an odd number, and a diamond. multiple-choice examination, there are four choices for 12. Coins Three fair coins are tossed. Find the probability that each question, only one of which is correct. If a student answers (a) three heads show, (b) exactly one tail shows, (c) no more than each question in a random fashion, find the probability that the two heads show, and (d) no more than one tail shows. student answers (a) each question correctly and (b) exactly four 13. Card Selection Three cards from a standard deck of questions comrectly. $2 playing cards are successively drawn at random without 25. Poker Hand Find the probability of being dealt four of a replacement. Find the probability that (a) all three cards are kind in a poker game. This simply means four of one kind and one jacks and (b) all three cards are spades. other card, such as four queens and a 10. Express your answer 14. Card Selection Two cards from a standard deck of using the symbol ,C. $2 playing cards are successively drawn at random with 26. Suppose P(E) = ;. P(EUF) = (s, and P(En F) = 4. replacement. Find the probability that (a) both cards are kings and (b) one card is a king and the other is a heart. (a) Find P(F) (b) Find P(E U F) 15. Genders of Children Assuming that the gender of a [Hinr: person is determined at random, determine the probability that a family with three children has (a) three girls, (b) exactly one boy, F = (EnFU(EnF) (c) no girls, and (d) at least one girl. where En Fand E'n Fare mutually exclusive.] 16. Jelly Bean Selection A jelly bean is randomly taken from a bag that contains five red, nine white, and two blue jelly beans. 27. Faculty Committee The classification of faculty at a Find the probability that the jelly bean is (a) blue, (b) not red, college is indicated in Table 8.3. If a committee of three faculty (e) red or white, (d) neither red nor blue, (e) yellow, and (f) red members is selected at random, what is the probability that it or yellow. consists of (a) all females; (b) a professor and two associate professors? 17. Stock Selection A stock is selected at random from a list of 60 utility stocks, 48 of which have an annual dividend yield of 6% or more. Find the probability that the stock pays an annual Table 8.3 Faculty Classification dividend that yields (a) 6% or more and (b) less than 6%. Male Female Total 18. Inventory A clothing store maintains its inventory of sweaters so that $1% are 100% pure wool. If a tie is selected Professor 12 3 15 at random, what is the probability that it is (a) 100% pure wool Associate Professor 15 24 (b) not 100% pure wool? Assistant Professor 18 26 19. Examination Grades On an examination given to 40 Instructor 20 15 35 students, 10% received an A, 25% a B. 35% a C, 25% a D, and 5% an F. If a student is selected at random, what is the probability Total 65 35 that the student (a) received an A, (b) received an A or a B, (c) received neither a D nor an F, and (d) did not receive an F? (e) Answer questions (a)-(d) if the number of students that were 28. Biased Die A die is biased so that P(1) = to. given the examination is unknown. P(2) = P(3) = P(4) = P(5) = -, and P(6) = - If the die is tossed, find the probability of tossing an even number