Download Exercise - masc161

Exercise
1) which of the following is an experiment?
a) Tossing a coin
b) Rolling a single die
c) Choosing a marble from a jar
d) All of the above
2) What is the probability of choosing a vowel from alphabet?
a) 21/26
b) 5/26
c) 1/21
d) None of the above
3) A number between 1 and 11 chosen at random, what is the
probability of choosing an odd number?
a) 1/11
b) 5/11
c) 6/11
d) None of the above
4) A glass jar contains 5red, 3blue and 2 green jelly beans. If a jelly bean
is chosen at random from the jar. Then which of the following is an
impossible event?
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a) Choosing a red jelly bean
b) Choosing a blue jelly bean
c) Choosing a yellow jelly bean
d) None of the above
5) A spinner has 7 equal sectors numbered I to 7 ,if you spin the
spinner, then which of the following is certain event ?
a) Landing on a number less than 7
b) Landing on a number less than 8
c) Landing on a number greater than 1
d) None of the above
6) If a number is chosen at random from the following list
2,3,30,5,7,11,13,17,20,24, then what is the probability that it is prime?
a) 1/10
b) 7/10
c) 5/10
d ) 9/10
7) The sample space of choosing an odd number between 1 and 11 at
random is………………….
a) {1, 3, 5, 7, 9, 11}
b) {1, 3, 5, 9, 10, 11}
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c) {1, 3, 5, 6, 9, 10}
d) None of the above
8) Choose one letter at random from the word mission, and then the
sample space is ……………
a) { m ,I ,s ,s ,I ,o ,n}
b) { m ,I ,s, o ,n}
c) { m ,I ,o ,s ,s }
d) None of the above
9) The sample space of choosing 1 letter at random from 5 vowels is
………………,
a) { a ,e ,I ,o, u}
b) { v ,o ,w ,e, l}
c) {1, 2 ,3 ,4 ,5}
d) None of the above
10 )If S = {1, 2,3 ,5 ,6 ,8,10,11,12 ,13} ,A={2 , 3 ,5} ,and B={2,3 ,11 ,13
},then
i) A ∩ B =…………..
II) A ∪
B =……………………….
III) (A ∩ B) ′ =……………………….
IV) 𝐴′ = ⋯………………….
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11) A student is chosen at random from a class of 16 girls and 14 boys.
The probability that the student chosen is not a girl is ……….
a) 8/15
b) 7/15
c) 1
d) None of the above
12) A number is chosen at random from the following list 2 ,3, 5 ,7 ,11 ,
13, 17 ,19 ,the probability that it is not prime …………..
a) 1
b) 1/8
c) 0
d) None of the above
13) All of the following are mutually exclusive events when a single 6 –
sided die is rolled except ……….
a) Getting a number less than 4 or getting a number greater than 4
b) Getting a 2 or getting an odd number
c) Getting a 2 or getting an even number
d) None of the above
14) A day of the week is chosen at random. The probability of choosing
a Monday or Tuesday ……
4
a) 1/7
b) 2/14
c) 2/7
d) 3/7
15) A number between 1 and 10 is chosen at random .The probability
of getting a 5 or an even number ……………………………….
a) 3/5
b) 1/2
c) 1/5
d) 5/14
16) Spin a spinner numbered 1 to 7, and toss a coin .The probability of
getting an odd number on the spinner and a tail on the coin ……..
a) 3/14
b) 2/7
c) 5/14
d) None of the above
17) A jar contains 6 red balls, 3 green balls, 5 white balls, and 7 yellow
balls. Two balls are chosen from the jar, with replacement.
i) The probability that both balls are green
a) 6/441
5
b) 2/49
c) 1/49
d ) 9/442
ii) The probability of getting a red and a yellow ball is…………
a ) 2/21
b) 3/21
c) 13/63
d) 1/21
18) Four cards are chosen from standard deck of 52 playing cards with
replacement .the probability of getting 4 hearts is ……….
a) 13/52
b) 1/16
c) 1/256
19) Two cards are chosen at random from a deck of 52 cards without
replacement. The probability of getting two kings …………..
a) 4/663
b) 1/221
c) 1/69
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20) On a math test, 5 out of 20 students got in A. If three students are
chosen at random without replacement .The probability that all three
got an A on the test is ……….
a)1/114
b) 25/1368
c) 3/400
21) At a middle school, 18 % of all students play football and basketball,
and 32 % of all students play football .the probability that a student
who plays football also plays basketball
a) 56%
b) 178%
c) 50%
22) A large basketball of fruits contains 3 oranges, 2 apples, and 5
bananas. If a piece of fruit is chosen at random, the probability of
getting orange or banana is ……
a) 4/5
b) 1/2
c) 7/10
23) in a class of 30 students ,there are 17 girls and 13 boys .A total of 5
students made an A grade on their report card , three of which were
girls .if a student is a chosen at random . The probability of getting a
girl or an A student is ……..
7
a) 19/30
b) 11/15
c) 17/180
24) Which of these numbers cannot be a probability?
a) -0.000001
b) 0.5
c) 20%
25) Two coins are tossed. The probability that on head only is ……..
a) 1/2
b) 1/4
c) 3/4
26) Two dice are rolled; the probability that the sum is equal 5 is …….
a) 3/9
b) 1/9
c) 7/36
27) A die is thrown once what’s the probability that the score is a factor
of 6
a) 1/6
b) 1/2
8
c) 2/3
28) The question do you smoke? Was asked of 100 people.Ruslet are
shown in the table
yes
no
total
male
19
41
60
female
12
28
40
total
31
69
100
*what is the probability of randomly selected individual being a male
who smokes?
** What is the probability of randomly selected individual being a
male?
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