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Punjab (PTB) · Quarter book test · Free

9th Class Mathematics 4th Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: UNIT 13: Probability.

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9th Class Mathematics 4th Quarter Book Paper

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

  1. Which one tells us how often a specific event occurs relative to the total number of frequency event or trials?

    1. Expected frequency

    2. Sum of relative frequency

    3. Relative frequency

    4. Frequency

  2. The relative frequency of selecting a red ball from 80 students is: 

    1. 0.29

    2. 0.19

    3. 0.31

    4. 0.12

  3. If six dice are rolled 50 times, the expected frequency of a number appearing is given by: 

    1. NP(B)

    2. NP(A)

    3. NP(X)

    4. None of these

  4. If the probability of an event is 0.3, the probability of its complement is 

    1. 0.4

    2. 0.5

    3. 0.3

    4. 0.7

  5. The chance of occurrence of a particular event is called:

    1. Sample space

    2. Estimated probability

    3. Probability

    4. Expected frequency

  6. What is the probability of drawing a white ball from a bag containing 5 white and 7 black balls? 

  7. The probability of an event is always: 

    1. Less than 0

    2. Greater than 1

    3. Equal to 1

    4. Between 0 and 1

  8. What is the probability of drawing a red heart from a deck of 52 playing cards? 

  9. What is the sample space when a single coin is tossed? 

    1. {A, B}

    2. {1, 2, 3}

    3. {1, 2, 3, 4}

    4. {H, T}

  10. Find out the total number of possible sample space when 4 dice are rolled:

    1. 62

    2. 63

    3. 64

    4. 66

  11. What is the probability of getting neither a spade nor a heart when drawing a card from a deck of 52? 

  12. Each element of the sample space is called:

    1. Event

    2. Experiment

    3. Sample point

    4. Outcomes

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

  1. What is a favorable outcome?

  2. What is the probability of rolling a double six with two dice?

  3. The probability that Ayesha will pass the examination is 0.85. What will be the probability that Ayesha will not pass the examination?

  4. A ball contains 5 blue balls and 8 green balls. Find the probability of selecting at random: not a green ball.

  5. Abdul Hadi labelled cards from 1 to 30 and put them in a box. He selects a card at random. What is the probability that selected card containing. Number not between 12-15.

  6. A ball contains 5 blue balls and 8 green balls. Find the probability of selecting at random: a green ball.

  7. A survey was conducted on 80 students of Grade - IX and asked about their favourite colour. White colour = 7 students.

  8. An urn contains 10 red balls, 5 green balls and 8 blue balls. Find the probability of selecting at random: not a red ball

  9. One alphabet is selected at random from the word " MATHEMATIC". Find the probability of getting: An E

  10. If two fair dice are rolled. What is the probability of getting: not the sum of both dice is 8.

  11. Shazia throws a pair of fair dice. What will be the probability of getting: Sum of dots is at least 4.

  12. If the probability of a defective bolt is 0.3. Find the number of non-defective bolts in a total to 800.

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

  1. Let A,B and C are the missiles and they are fired at a target, if the probabilities of hitting the target, , respectively. Find the probabilities of missile A does not hit the target.

  2. Find the expected frequencies of the given data if the experiment is repeated 200 times.

    x 0 1 2 3 4 5 6
    P(x) 0.11 0.21 0.17 0.18 0.09 0.17 0.07

  3. Let A,B and C are the missiles and they are fired at a target, if the probabilities of hitting the target, , respectively. Find the probabilities of Missile B does not hit the target.

  4. What is the expectation of a person who is to get Rs. 120 if he obtains at least 2 heads in single toss of three coins?