Homework #1
1.
A fair coin is tossed. What is the probability that the coin will land on heads?
2.
A fair coin is tossed four times. What is the probability that the coin will land heads up on the fourth
toss?
3.
If the probability that it will snow on Wednesday is
1 , what is the probability that it will not snow
5
on Wednesday?
4.
A fair die is rolled. Find the probability of rolling a seven.
5.
A fair die is rolled. Find the probability of rolling a number that is less than seven.
6.
A box contains five red balls and three green balls. What is the probability of selecting a red ball at
random from the box?
7.
A fair die is rolled once. Find the probability of rolling a prime number.
8.
A fair die is rolled once. Find the probability of not rolling a number greater than 5.
9.
A standard deck of 52 cards is shuffled, and one card is drawn. What is the probability that the card is
the queen of hearts?
10. A letter is chosen at random from a given word. Find the probability that the letter is a vowel if the
word is APPLE.
11. Ted has two quarters, three dimes, and one nickel in his pocket. He pulls out a coin at random. Find
the probability that the coin is worth exactly 5 cents.
12. A single fair die is rolled. Find the probability the number 8 is rolled.
13. The measures of three interior angles of the triangle are 40°, 60°, and 80°. The measures of the
exterior angles of the triangle are 140°, 120°, and 100°. One of the six angles is chosen at random.
Find the probability that the angle is an interior angle.
14. A sack contains 20 marbles. The probability of drawing a green marble is
2 . How many green
5
marbles are in the sack?
15. The school cafeteria offers four types of salads, three types of beverages, and five types of desserts. If
a lunch consists of one salad, one beverage, and one dessert, how many possible lunches can be
chosen?
Homework #2
1.
A fair die is rolled. What is the probability of rolling a two?
2.
A fair die is rolled three times. What is the probability of rolling a six on the second roll?
3.
If the probability that it will rain on Friday is
3
10
, what is the probability that it will not rain on
Friday?
4.
A box contains three black balls and four red balls. What is the probability of selecting a green ball
from the box?
5.
Find an event for which the probability is 1.
6.
A box contains six blue balls and five white balls. What is the probability of selecting a white ball at
random from the box.
7.
Tell how many possible outfits consisting of one shirt and one pair of pants Terry can choose if he
owns 5 shirts and 2 pair of pants.
8.
The Knicks play two games this weekend, one on Saturday and the other on Sunday. The probability
of winning on Saturday is
of:
a.
b.
c.
d.
e.
9.
3 and the probability if winning Sunday is 1 . What is the probability
7
2
losing on Saturday
losing the Saturday game and winning the Sunday game
winning the Sunday game after already winning the Saturday game
Winning both games
Losing both games
If a single card is drawn from a standard deck, what is the probability that it is a 4 or a diamond?
10. If P(A) = .2, P(B) = .5, and P ( A  B )  .1, then P( A  B) 
(a) .6 (b) .7 (c) .8 (d) .9
11. A letter is chosen at random from a given word. Find the probability that the letter is a vowel if the
word is BANANA
Homework #3
1.
A fair coin is tossed. What is the probability that the coin will land on tails?
2.
A fair coin is tossed three times. What is the probability that the coin will land on tails on the second
toss?
3.
If the probability that Beltran will not get a hit is 73%, find the probability of him getting a hit.
4.
What is the probability of finding a triangle whose interior angles have a sum of 90°?
5.
Find an event for which the probability is greater than 1.
6.
A box contains four green balls, two yellow balls, and nine orange balls. What is the probability of
selecting a yellow ball at random from the box?
7.
There are 10 doors into the school and eight staircases from the first floor to the second floor. How
many possible ways are there for a student to go from outside the school to a classroom on the second
floor?
8.
A fair coin and a six sided die are tossed simultaneously. What is the probability of obtaining :
a. head
b. 4
c. a head and a 4
9.
If P ( A) 
(a)
2
5
1
1
1
, P( B)  , and P(A and B) = , then P(A or B) =
3
2
6
2
5
(b)
(c)
(d) 1
3
6
10. If a single card is drawn from a standard deck, what is the probability that it is a 3 or a red card?
11. A letter is chosen at random from a given word. Find the probability that the letter is a vowel if the
word is GEOMETRY
12. Ted has two quarters, three dimes, and one nickel in his pocket. He pulls out a coin at random. Find
the probability that the coin is worth exactly 10 cents.
13. There are three more boys than girls in the chess club. A member of the club is chosen at random to
play in a tournament. Each member is equally likely to be chosen. If the probability that a girl is
chosen is
3 , how many boys and how many girls are members of the club?
7
14. The measures of three interior angles of the triangle are 40°, 60°, and 80°. The measures of the
exterior angles of the triangle are 140°, 120°, and 100°. One of the six angles is chosen at random.
Find the probability that the angle is a straight angle.
15. A bag contains 15 marbles. The probability of drawing a blue marble is
bag are not blue?
2
. How many marbles in the
5
Homework #4
Finish the classwork package. (ALL PROBLEMS)
Homework #5
1.
A fair die is rolled. What is the probability of rolling a three?
2.
A fair die is rolled five times. W hat is the probability of rolling a three on the fourth roll?
3.
If the probability that is will snow at least one day is 98%, what is the probability that is will not snow
this winter?
4.
What is the probability of finding a square whose sides are not equal in length?
5.
List 2 events for which the probability is 1.
6.
A box contains four purple balls and two red balls. What is the probability of selecting a red ball at
random from the box?
7.
A dinner menu lists two soups, seven meats, and three desserts. How many different meals consisting
of one soup, one meat, and one dessert are possible?
8.
In our school cafeteria the menu rotates so that P(hamburger) = ¼ , P(apple pie) =
2 , and P(soup) =
3
4 . On any given day, what is the probability that the cafeteria offers, hamburger, apple pie, and
5
soup on the same menu?
9.
If a single card is drawn from a standard deck, what is the probability that it is a queen or a spade?
10. A letter is chosen at random from a given word. Find the probability that the letter is a vowel if the
word is MATHEMATICS
11. Ina math class, there are four students in the first row: three boys, Arthur, David, and Carlos and one
girl, Kim. The teacher will call one of these students to the board to solve a problem. When the
problem is solved, the teacher will then call upon one of the remaining students in the first row to do a
second problem on the board.
Find the probability that:
a. Kim will be one of the two students called to the board
b. At least one boy will be called to the board
c. Kim and Arthur will be the two students called to the board
d. Two girls will be called to the board