![Text Box: QUESTIONS ON PROBABILITY
[Tutor: Spectrum]](Probability_files/image001.png)
1. The letters of the word “SOPHISTICATED”
are put in a bag and one is picked at random. What is the chance of getting an
“S” in the first draw?
[a] 
[b] 
[c] 
[d] 
2. There are 15 girls and 23 boys in a class. If a
prefect is to be elected, what is the chance of a girl getting the post?
[a] 
[b] 
[c] 
[d] 
3. A man kept 6 black, 5 brown and 7 purple shirts in a
drawer. What is the probability of him picking a purple shirt with eyes closed?
[a] 
[b] 
[c] 
[d] 
4. Find the probability that a number selected at
random from 40 to 50 is a prime.
[a] 
[b] 
[c] 
[d] 
5. Find the probability that a number selected at
random from 41 to 56 is a multiple of 9
[a] 
[b] 
[c]
[d] 
6. A number selected at random between 20 and 30 both
numbers inclusive. Find the probability that the number is a prime.
[a] 
[b]
[c] 
[d]
7. All the digits 0, 1, 2,. .
. , 9 are kept in a bag and one is drawn at random. What is the chance of it
being odd?
[a] 
[b] 
[c] 
[d] 1
8. The letters of the word “MATRICULATION” are cut and put into a box. One letter is drawn at random from the box. What is the probability of drawing a vowel?
[a] 
[b] 
[c] 
[d] 
9. Find the probability of selecting a prime number
from the integers between 1 and 10 inclusive.
[a]
[b] 
[c] 
[d] 
10. If P(x) denote the probability that event x will
occur and P(x’) denotes the probability that event x
will not occur, which of the following is not true?
[a] 0 < P(x) < 1
[b] 0 < P(x’) < 1
[c] P(x) + P(x’) = 1
[d] P(x’) < 0
11. From the set A = {3, 
, 2
, 
, 
}, a number selected at random, Find the
probability that it is a rational number.
[a]
[b] 
[c] 
[d] 
12. Bola chooses at random a number between 1 and 300. What is the
probability that the number is divisible by 4?
[a]
[b] 
[c]
[d] 
13. A box contains 36 balls, (white, yellow and blue). If a ball
is chosen at random, the probability of getting a white ball is 
and that of yellow ball is . How many blue balls
are in the box?
[a]
12
[b] 2
[c] 18
[d] 22
14. A bag contains three red, two white and four green balls. If
one is chosen at random, what is the chance of not picking a green ball?
[a]
[b] 
[c] 0
[d] 
15. A coin is tossed trice. What is the probability of obtaining
at most two tail?
[a]
1
[b] 
[c] 
[d] 
16. A coin is tossed twice times. What is the probability of
obtaining a head?
[a]
[b] 
[c]
[d] 
17. A coin is tossed trice. What is the probability of obtaining
at least two heads
[a]
[b] 
[c]
[d]
18. A bag contains 7 balls, 4 of which are yellow and the rest
black. What is the probability of picking either a yellow or black ball at
random?
[a]
[b] 
[c] 1
[d] 0
19.
|
Age in
years |
10 |
11 |
12 |
|
Number of
Pupils |
6 |
27 |
7 |
The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11yrs old.
[a] 
[b] 
[c] 
[d] 
20.
|
No. of Boys |
6 |
5 |
4 |
3 |
2 |
1 |
0 |
|
Frequency |
2 |
3 |
16 |
30 |
29 |
15 |
5 |
A survey
was carried out on 100 families each with 6 children. The table shows the
distribution of the number of boys per family. What is the probability that a
family randomly selected will have at least 4 girls?
[a] 0.39
[b]
0.48
[c] 0.49
[d] 0.63
21.
In a survey, it was observed that 20 students read newspapers and 35 read
novels. If 40 of the students read either newspaper or novels, what is the
probability of the students who read both newspaper and novel?
[a]
[b] 
[c]
[d] 
22. A die has four of its faces colored white and the
remaining colored black. What is the probability that when thrown two
consecutive times the top face will be white in both cases?
[a]
[b] 
[c] 
[d] 
23. The chances of three independent event X, Y, Z
occurring are ½, 2/3, 1/44 respectively. What are the chances of Y and Z only
occurring?
[a]
[b] 
[c] 
[d]
24. If two fair coins are tossed, what is the
probability of getting at least one head.
[a]
[b]
[c] 1
[d]
25. Two numbers are removed at random from the numbers
1, 2, 3 and 4. What is the probability that the sum of the numbers is even?
[a] 
[b]
[c] 
[d]
26. A pair of dice are thrown.
What is the probability of getting a total score of seven?
[a] 
[b]
[c]
[d] 0
27. A fair die is rolled twice. Find the probability of
NOT getting a total of 7 or 11
[a]
[b] 
[c]
[d] 
28. A bag contains 4 white balls and 6 red balls. Two
balls are taken without replacement, what is the probability that they are both
red?
[a]
[b]
[c] 
[d]
29. A bag contains 6 red and 5 green identical balls.
Two balls are drawn at random one after the other without replacement. What is
the probability that both balls are the same colour.
[a] 
[b] 
[c]
[d] 
30. A coin is tossed trice. What is the probability of obtaining
at least a head and a tail?
[a]
[b]
[c]
[d]
31. Let P be a probability function on set S, where S = {a1,
a2, a3, a4}. Find P(a1);
If P(a2) = , P(a2) = 
, and P(a4)
=
[a]
[b]
[c]
[d] 
32. A number selected at random between 20 and 30 both numbers
inclusive. Find the probability that the number is a prime
[a] [b] [c] [d]
33. A football coach remarked that the odds in favour
of his team winning the match were 5 to 3. The swimming coach commented that
the odds in favour of the swimming team winning were
3 to 1. What is the probability that both team wins?
[a]
[b] 
[c] 
[d] 
34. A crate of soft drinks contains 10 bottles of coca-cola, 8 of Fanta and 6 of sprite. If one bottle is
selected at random, what is the probability that it is NOT a Coca-cola bottle?
[a]
[b]
[c]
[d] 
35. What is the probability that a number chosen at random from
the integers between 1 and 10 inclusive is either a prime or multiple of 3?
[a]
[b] 
[c]
[d]
36. A number is selected from the set {4, 5, 6, 9, 11, 12, 13} with equal probabilities. What is the probability that
the number chosen is either less than 10 or is even?
[a]
[b]
[c] 
[d] 1
37. Two cards are picked at random from a pack of 52 playing
cards, one at a time with replacement. What is the probability that the cards
are both spades?
[a] 
[b] 
[c] 
[d]
38. The probability of carrots for lunch today is
. The probability of
rice pudding for lunch is 
and the probability of both is
. Find the probability
of carrots but not rice?
[a]
[b] 
[c] 
[d] 
39. The probability of an event P is while that of another event Q is . If the probability of
both P and Q is 
, what is the
probability of either P or Q?
[a]
[b]
[c] 
[d] 
40. The probability of a footballer being selected for a club team
is 0.1, for a National team is 0.05, and for both teams is 0.025. What is the
probability of his being selected for at least one of the teams?
[a]
0.005
[b] 0.125
[c] 0.15
[d] 0.175
41. If the probability of a hunter hitting a target is and the probability of another hitting is 2/3
for each shot. What is the probability that they both hit it if they each shoot
one arrow?
[a]
[b]
[c]
[d]
42. The chances of Azi, Niji and Bofi winning s lottery
are 3/5, 4/5 and 7/10 respectively. What is the probability that only Bofi wins the lottery?
[a]
[b] 
[c] 
[d] 
43. Two fair dice are
rolled. What is the probability that both show up the same number of points
[a]
[b] 
[c]
[d]
44. The probabilities
that a man and his wife will be alive in twenty years time
are 0.6 and 0.7 respectively. What is the probability that one of them will not
be alive in twenty years time?
[a]
0.88
[b] 0.46
[c] 0.42
[d] 0.28
45. If two fair coins
are tossed, what is the probability of getting at least one head?
[a]
[b]
[c] 1
[d]
46. Two numbers are
chosen at random from three numbers 1, 3, 6. Find the probability that the sum of
the two is not odd.
[a]
[b]
[c]
[d]
47. Two numbers are
removed at random from the numbers 1, 2, 3 and 4. What is the probability that
the sum of the numbers is even?
[a]
[b]
[c]
[d]
48. Two perfect dice
are thrown together. Determine the probability of obtaining a total score of 8.
[a]
[b] 
[c]
[d]
49. If two dice are
thrown together, what is the probability of obtaining at least a score of 10?
[a]
[b]
[c] 
[d]
50. When two dice are
thrown, what is the probability that the sum of the scores shown is divisible
by 5.
[a] 
[b]
[c]
[d]
Comments
Post a Comment