Download chapter 4 in class practice problems

Grima MAT 142 - Chapter 4 in class practice problems PART 1
1) Each individual letter of the word interesting is placed on a piece of paper, and all 11 pieces
of paper are placed in a hat. If one letter is selected at random from the hat, find the
probability that: (Write your answers as a reduced fractions.)
a) the letter t is selected
b) a vowel is selected
2) A box contains 3 red and 5 blue marbles and 2 yellow marbles. If you select one at random
from the box, determine: (Write your answer using colons, make sure to reduce.)
a) The odds against selecting a red marble.
b) The odds in favor of selecting a yellow marble
#3-5: A single card is picked from a deck of cards. Find the odds against selecting: (Write your
answer using colons, make sure to reduce.)
3) a red queen
4) a jack
5) a diamond
6) A couple plans to have two children.
a) Determine the number of points in the sample space of the possible arrangements of
boys and girls.
b) Construct a tree diagram and list the sample space.
Find the probability the couple has:
c) at least one girl
d) A boy and a girl
7) A coin is tossed three times and a sequence of heads and tails is recorded.
a) Construct a tree diagram and list the sample space.
b) Find the probability that exactly one tail is tossed.
#8 – 9: a single dice is rolled one time. Find the probability of rolling (Write your answer as a
reduced fraction.)
8) An odd number or a number less than or equal to 2?
9) A number greater than 4 or an even number?
#10 – 11: One card is selected from a deck of playing cards. Find the probability of selecting:
(Write your answer as a reduced fraction.)
10) A 4 or a black card
11) A seven or a queen
Answers: 1a) 2/11 1b) 4/11 2a) 7:3 2b) 2:8 or better yet 1:4 3) 50:2 or 25:1
4) 48:4 or 12:1 5) 39:13 or3:1 6a) 4 6b) bb, gg, bg, gb 6c) 3/4 6d) ½
7a) hhh, hht, hth, htt, thh, tht, tth, ttt 7b) 3/8 8) 2/3 9) 2/3 10) 7/13 11) 2/13
Grima MAT 142 - in class practice problems PART 2
#12-13: Two cards are selected at random from a deck of 52 cards WITHOUT replacement.
Find the requested probabilities, (write your answer as a reduced fraction.)
12) The first is a club and the second is red
13) The first card is a jack and the second is a 9.
#14-15: Two marbles are drawn from a bag that contains 5 blue, 3 red and 2 purple marbles
WITH replacement. Find the requested probabilities: (Write your answer as a reduced
fraction.)
14) Both are purple
15) The first is not blue and the second is red
#16 – 17: Create a reduced sample space and find the requested probabilities. A pair of dice is
rolled and the sum of the dice is recorded, determine the probability that: (Write your answer
as a reduced fraction.)
16) The sum is less than 5 given the second dice is a 2.
17) The sum is 9 given the first dice is a 6.
#18 – 19: 190 1st grade students were asked if they like school. The results are given in the
table below.
Like School
Don’t like school
Total
Boys
50
30
80
Girls
70
40
110
Total
120
70
190
If one child who was in the survey is selected at random, find the probability that
18) The child likes school, given the child is a girl.
19) The child is a boy, given they do not like school.
20) A telephone number consists of 10 digits. How many telephone numbers are possible if
the only restriction is no number may be used more than once?
21) A social security number consists of nine digits. How many different social security
numbers are possible if there aren’t any restrictions?
#22-23: A license plate is to consist of two letters followed by 4 digits. How many different
license plates are possible if
22) The first letter must be a consonant and the first number must be a 3 and repetition of
numbers and letters is permitted?
23) Repetition of numbers is permitted, but repetition of letters is NOT permitted?
24) How many ways can the letters of agreeable be arranged?
Answers: 12) 13/102 13) 4/663 14) 1/25 15) 3/20 16) 1/3 17) 1/6 18) 7/12 19) 3/7
20) 3,628,800 21) 1,000,000,000 22) 5,460,000 23) 6,500,000 24) 30240