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Probability Maths - Probability

Maharashtra Board - STD 9 - Maths (MSBSHSE - English Medium). 32 questions in this chapter.

Question types

Probability question types

32 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

32
Questions
5
Question groups
5
Question types
Sample Questions

Probability questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ(1M)1 Mark
A dice is rolled $600$ times and the occurence of the outcomes $\{1, 2, 3, 4, 5\}$ and $6$ are given below:
Outcome
 $1$ $2$ $3$ $4$ $5$ $6$
Frequency
 $200$ $30$ $120$ $100$ $50$ $100$
The probability of geeting a prime number is:
  • ✓
    $\frac{1}{3}$
  • B
    $\frac{2}{3}$
  • C
    $\frac{49}{60}$
  • D
    $\frac{39}{125}$

Answer: A.

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Q 3MCQ(1M)1 Mark
A coin is tosses $1000$ times, if the probability of getting a tail is $\frac{3}{8},$ how many times head is obtained?
  • A
    $525$
  • B
    $375$
  • ✓
    $625$
  • D
    $725$

Answer: C.

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Q 4MCQ(1M)1 Mark
Which of the following cannot be the probability of an event ?
  • A
    $\frac{1}{3}$
  • B
    $\frac{3}{5}$
  • ✓
    $\frac{5}{3}$
  • D
    $1$

Answer: C.

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Q 62 Mark Question2 Marks
following table show the birth month of 40 students in class IX:
Jan
Feb
Mar
Apr
May
June
July
Aug
Sep
Oct
Nov
Dec
3
4
2
2
5
1
2
6
3
4
4
4
Find the probability that a student is born in August.
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Q 72 Mark Question2 Marks
Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.
Concentration of $SO_2$
0.00 - 0.04
0.04 - 0.08
0.08 - 0.12
0.12 - 0.16
0.16 - 0.20
0.20 - 0.24
No. of days
4
8
9
2
4
3
Find the probability of the concentration of sulphur dioxide in the interval 0.12 - 0.16 on any of these days.
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Q 83 Mark Question3 Marks
Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:
Two heads: 95 times
One heads: 290 times
No heads: 115 times
Find the probability of occurrence of each of these events.
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Q 93 Mark Question3 Marks
To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table:
Opinion
Like
Dislike
Number of students
135
65
Find the probability that a student chosen at random:
  1. Likes Mathematics
  2. Does not like it.
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Q 103 Mark Question3 Marks
The percentage of marks obtained by a student in the monthly unit tests are given below:
Unit Test
I
II
III
IV
V
Percentage of Mark Obtained
69
71
73
68
76
Find the probability that the student gets:
  1. More than 70% marks.
  2. Less than 70% marks.
  3. A distinction
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Q 113 Mark Question3 Marks
Eleven bags of wheat flour, each marked 5kg, actually contained the following weights of flour (in Kg).
4.97
5.05
5.08
5.03
5
5.06
5.08
4.98
5.04
5.07
5
Find the probability that any of these bags chosen at random contains more than 5kg of flour.
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Q 185 Mark Question5 Marks
1500 families with 2 children were selected randomly, and the following data were recorded:
No of girls in a family
0
1
2
No of girls
211
814
475
If a family is chosen at random, compute the probability that it has:
  1. No girl.
  2. 1 girl.
  3. 2 girls.
  4. At most one girl.
  5. More girls than boys.
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Q 195 Mark Question5 Marks
Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes:
Outcome
No head
One head
Two head
Three head
Frequency
14
38
36
12
If the three coins are tossed simultaneously again, compute the probability of:
  1. 2 heads coming up.
  2. 3 heads coming up.
  3. At least one Head coming up.
  4. Getting more Tails than Heads.
  5. Getting more heads than tails.
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Q 205 Mark Question5 Marks
The following table gives the life time of 400 neon lamps:
Life time(in hours)
300 - 400
400 - 500
500 - 600
600 - 700
700 - 800
800 - 900
900 -1000
Number of lamps:
14
56
60
86
74
62
48
A bulb is selected at random. Find the probability that the lifetime of a selected bulb is:
  1. Less than 400
  2. between 300 to 800 hours
  3. At least 700 hours
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