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Probability Maths - Probability

Jharkhand Board (JAC) - STD 9 - Maths (Jharkhand - 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 1M.C.Q1 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 3M.C.Q1 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 4M.C.Q1 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 Marks Questions2 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 Marks Questions2 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 $\mathrm{SO}_2$
$0.00 - 0.04$
$0.04 - 0.08$
$0.08 - 0.12$
$0.12 - 0.16$
$0.16 - 0.20$
$0.20 - 0.24$
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 Marks 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 Marks 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 Marks 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 Marks Question3 Marks
Eleven bags of wheat flour, each marked $5\ kg$, 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 $5\ kg$ of flour.
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Q 135 Marks Questions5 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 145 Marks Questions5 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:
$1.$ heads coming up.
$2.$ 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 155 Marks Questions5 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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