May 30, 2015

Homework Help: Probability Questions

Posted by steve on Tuesday, May 24, 2011 at 11:09pm.

Any answers are greatly appreciated.

a) In the game of “In-Between” two cards are drawn from a standard deck of 52 cards. Then a third card is drawn. To win, the value of the third card must be between the first two cards. Determine the probability of winning; given the first two cards drawn are a 5 and a 9?

A: 8/25
B. 4/13
C. 3/50
D. 6/25

b) A married couple decides to have a family. They would like to have 5 children and of these 5 children the mother wishes to have exactly 3 girls. If both sexes are equally probable, what is the probability of exactly 3 girls?

A. 5/8
B. ½
C. 5/16
D. 5/32

c) In 7 spins of a spinner the arrow landed on the blue sector at least 3 times. Which of the following is the complement of this event?

A. landing on 0 or 1 or 2 blue sectors
B. landing on 7 blue sectors
C. landing on 1 or 2 or 3 blue sectors
D. landing on more than 3 blue sectors

d) Statistics indicate that 45% of smokers get emphysema while 38% get lung cancer. 12% get both emphysema and lung cancer. What is the probability that a randomly selected smoker does not have either of these diseases?

A. 15%
B. 39%
C. 61%
D. 85%

e) A survey at a high school determines that 69% of teenagers listen to rock music and 33% listen to classical music. 16% listen to neither type of music. What is the probability that a randomly selected student listens to both classical and rock music?

A. 2%
B. 18%
C. 84%
D. 86%

f) A single card is drawn from a standard deck of playing cards. Determine the probability that the card is a diamond or face card.

A. ¼
B. 25/52
C. 3/52
D. 11/26

g) A box contains 7 green marbles and 5 blue marbles. Find the probability of drawing 3 green marbles if the marbles are not replaced after each draw.

A. 77/44
B. 35/288
C. 343/1728
D. 7/12

h) A bag contains 3 white balls and 4 black balls. A second bag has 3 black balls and 6 red balls. If one ball is drawn from each bag, what is the probability that 1 white ball and 1 red ball will be drawn?

A. 2/7
B. 5/21
C. 2/3
D. 23/21

i) In a standard deck of 52 playing cards, 3 cards are selected without replacement. The probability that all 3 cards are 7’s is:

A. 1/5525
B. 1/2197
C. 3/17576
D. 3/125

j) A high school soccer team has 2 goalies, 6 midfielders and 12 forwards. If 3 team members are selected at random what is the probability that all 3 will be forwards?

A. 243/250
B. 1/57
C. 27/125
D. 11/57

k) Team A defeats Team B 60% of the time. During the basketball season Team A and Team B play each other 3 times. What is the probability that Team A will win exactly 2 of the 3 games they play?

A. 0.432
B. 0.360
C. 0.216
D. 0.288

l) The cross-country running team consists of 6 boys and 8 girls. For the next meet the coach must select two co-captains. What is the probability these two co-captains are boys?

A. 3.330x10^-4
B. 48/91
C. 15/91
D. 4/13

m) In a first year University Mathematics class there are 130 females and 110 males. 35 females and 25 males own a cell phone. If a student is randomly selected from the class and that student owns a cell phone, determine the probability the student is a girl.

A. 5/48
B. 19/48
C. 7/48
D. 7/12

n) The student government is holding elections for the school Prime Minister. There are three students running for Prime Minister. Student A is twice as likely to win as student B and student B is twice as likely to win as student C. Determine the probability that student A wins the election.

A. ¾
B. 2/3
C. 4/7
D. 4/5

o) Two cards are dealt without replacement from a well-shuffled deck of 52 cards. Determine the probability the second card is a face card?

A. 11/221
B. 40/221
C. 11/51
D. 3/13

p) A multiple-choice test has 14 questions. Each question has 4 choices and only one of which is correct. If a student answers each question by guessing randomly, the probability that the student gets at least 9 questions correct.

A. 0.0018
B. 0.00034
C. 0.0022
D. 0.9982

q) A diagnostic test was developed to detect a disease. The test is 98% accurate, which means the outcome of the results will be correct 98% of the time. It is known that 10% of the population has the disease. Determine the probability that a randomly selected person tests negative.

A. 0.116
B. 0.020
C. 0.980
D. 0.884

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