# Probability Questions and Answers

Math

ProbabilityA multiple-choice test has six possible answers for each question.
(a) If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?
(b) If the student first eliminates one of the six possible answers and guesses from the remaining possibilities, what is the probability that he or she selects the correct answer to that question?
(a) If a student guesses at the answer, the probability that he or she selects the correct answer for one particular question is
(Type an integer or a simplified fraction.)
(b) If the student first eliminates one of the six possible answers and guesses from the remaining possibilities, the probability that he or she selects the correct answer to that question is
(Type an integer or a simplified fraction.)

Math

ProbabilityWhat is the probability that a card drawn randomly from a standard deck of 52 cards is a six? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Choose the correct answer from the options below.
1/4= 0.25
1/13≈ 0.076923
1/26≈ 0.038462
1/52≈ 0.019231

Math

ProbabilityThe Marvel Costume Design Workshop employs 65 people. Eight of the 30 men and 21 of the 35 women work in the business office. What is the probability that an employee picked at random is a woman or works in the business office?
A. 64/65
B. 21/65
C. 43/65
D. 10/13
E. 51/65

Math

ProbabilityFind the probability of the given event.
A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. A randomly drawn marble is not blue.
A. 6
B. None of these
C. 1/2
D. 3/2
E. 1/3

Math

ProbabilityIn one state lottery game, you must select four digits (digits may be repeated). If your number matches exactly the four digits selected by the lottery commission, you win.
a) How many different numbers may be chosen?
b) If you purchase one lottery ticket, what is your chance of winning?
a) There are different numbers that can be chosen.
(Type a whole number.)
b) There is a chance of winning.
1 in 10,000
1 in 9999
1 in 6561
1 in 100
1 in 1000

Math

ProbabilityOne card is selected at random from a deck of cards. Determine the probability of selecting a card that is less than 7 or a diamond. Note that the ace is considered a
low card. The probability that the card selected is less than 7 or a diamond is
(Type an integer or a simplified fraction.)

Math

ProbabilityFind the indicated probability.
If P(A and B) = 0.5, P(A) = 0.7, and
P(B) = 0.6, find P(A or B).

Math

ProbabilityConsider a collection of envelopes consisting of 3 red envelopes, 1 blue envelope, 3 green envelopes, and 1 yellow envelope. If two envelopes are selected at random, with replacement, determine the probability that both are blue envelopes.

Math

ProbabilityIn an auditorium with 500 people, one person will be chosen to win a $100 gift card. The rest of the people will receive a $0.25 key chain.
What is the probability that you will be chosen to win the gift card?
What is the probability that you will receive a key chain?
Find the expected value.

Math

ProbabilityA standard deck of cards contains 52 cards. One card is selected from the deck.
(a) Compute the probability of randomly selecting a two or ten.
(b) Compute the probability of randomly selecting a two or ten or ace.
(c) Compute the probability of randomly selecting a two or diamond.

Math

ProbabilityA binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n=9, p=0.4, x≤ 3

Math

ProbabilityAn airline is planning its staffing needs for the next year. If a new route is approved, it will hire 811 new employees. If a new route is not granted, it will hire only 193 new employees. If the probability that a new route will be granted is 0.35, what is the expected number of new employees to be hired by the airline? The expected number of new employees to be hired is.

Math

ProbabilityAt the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from your total bill. A bag of 10 fortune cookies is given to you from which you will select one. If six fortune cookies contain "$1 off," three contain "$3 off," and one contains "$6 off," determine the expectation of a selection.

Math

ProbabilityFour million tickets are sold for a lottery.
a) If you purchase a ticket, find your odds against winning.
b) If you purchase 50 tickets, find your odds against winning
a) If you purchase a ticket, find your odds against winning.
b) If you purchase 50 tickets, find your odds against winning.

Math

ProbabilitySuppose that each circle is equally likely to be selected. One circle is selected at random. Determine the probability indicated.

Math

ProbabilityDuring a game of online hearts, three cards are dealt, one at a time without replacement, from a shuffled, ordinary deck of cards.
Find these probabilities rounded to six decimal places:
(a) All are red cards.
The probability that the three cards dealt are all red cards is
(b) All are diamonds.
The probability that the three cards dealt are all diamonds is