Study Guide Exam 2
1. Find the probability that a number greater than 4 appears on the up face in a single toss of a fair six–
sided die.
A) 1/6 B) 1/3 C) 1/2 D) 2/3
2. Find the probability that at least one head appears when two fair coins are flipped and the up face on
each is observed.
A) ¼ B) ½ C) ¾ D) 1
3. Find the probability of drawing a diamond or a 10 when a single card is drawn at random from a well–
shuffled standard deck of 52 playing cards.
A) 1/13 B) 7/26 C) 4/13 D) 6/13
4. Find the probability of drawing a black or red marble when a single marble is drawn at random from
an urn containing 7 black marbles, 6 green marbles, and 10 red marbles. (Assume the marbles are
identical except for color.)
A) 7/23 B) 10/23 C) 13/23 D) 17/23
5. A quiz consists of five multiple–choice questions, each of which has four possible answer choices (A, B,
C, and D), one of which is correct. Suppose that an unprepared student does not read the questions but
simply makes a random guess for each question. What is the probability that the student will get all five
questions wrong?
A) 0 B) 1/1024 C) 243/1024 D) 5 (a – 1/4)
6. A box contains 30 identical–looking items, of which 3 are defective. If one item is selected at random,
what is the probability that the item is defective?
A) 1/30 B) 1/11 C) 1/10 D) 9/10
7. Find the probability of complement of the following event: A number greater than four appears on
the up face in a single toss of a fair six–sided die.
A) 5/6 B) 1/3 C) ½ D) 2/3
8. Find the complement of the following event: At least one head appears when two fair coins are
flipped and the up face on each is observed.
A) ¼ B) ½ C) ¾ D) 0
9. A single marble is drawn at random from an urn containing 2 white marbles, 7 black marbles, 6 green
marbles, and 10 red marbles. (Assume the marbles are identical except for color.) What is the
probability that the marble drawn is NOT red?
A) 2/5 B) 3/5 C) 1/3 D) 2/3
10. One card is randomly drawn from a well–shuffled standard deck of 52 playing cards. Find the
probability that the card drawn is an ace or a spade or a diamond.
11. Two cards are randomly drawn, successively with replacement, from a well–shuffled standard deck
of 52 playing cards. Find the probability that the first card drawn is a face card and the second card
drawn is a number greater than 7 but less than 10.
A) 8/221 B) 6/169 C) 12/169 D) 5/13
12. For which of the following experiments is the binomial distribution an appropriate model of the
experiments probability distribution?
(A) Toss a six–sided fair die 30 times, and record the up face of the die.
(B) Toss a six–sided fair die 100 times, and record the number of times the up face of the die shows five
dots.
(C) Count the number of cars entering a car wash in a 30–minute period.
(D) Randomly draw 30 cards, successively without replacement, from a well–shuffled deck of 52 playing
cards, and observe whether the card is a diamond.
13. Toss a six–sided fair die five times, and record the number of dots on the up face of the die. What is
the probability that an even number on the up face occurs exactly four times? (Round your answer, as
needed.)
A) 0.003 B) 0.156 C) 0.844 D) 0.969
14. Suppose researchers determine that a new drug has a 40% chance of pre venting a certain flu strain.
If the drug is administered to 10 male subjects, what is the probability that the drug will be effective in
preventing the flu strain for exactly eight of the male subjects? (Round your answer, as needed.)
A) 0.012 B) 0.998 C) 0.011 D) 0.989
15. A quiz consists of five multiple–choice questions, each with four possible answer choices (A, B, C, and
D), one of which is correct. Suppose an unprepared student does not read the question but simply
makes one random guess for each question. What is the probability that the student will get exactly five
questions correct? (Round your answer, as needed.)
A) 0.001 B) 0.003 C) 0.763 D) 0.999
