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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 12 TestUNIT 12: PROBABILITY

30 marks · 40 minutes · 21 questions. Covers: UNIT 12: PROBABILITY.

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10th Class Mathematics Chapter 12 Test

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. What is called a visual representation to show all possible outcomes:

    1. A free diagram

    2. A tail diagram

    3. Sample diagram

    4. A tree diagram

  2. In a random experiment, each possible outcome is called:

    1. An event

    2. Sample space

    3. Probability

    4. Rolling a dice

  3. Which is not a valid probability value?

    1. 2.3

    2. 0.3

    3. 0.5

    4. 1.3

  4. Out of 100 students, 60 like Math, 40 like science, 20 like both. What is probability a random student likes Math or science:

    1. 0.8

    2. 0.6

    3. 0.4

    4. 0.2

  5. The probability always lies from:

    1. 0 to 1

    2. 1 to 2

    3. 1 to 1

    4. 2 to 6

  6. Flipping a coin multiple times each flip is ...... of others:

    1. Dependent

    2. Mutually

    3. Independent

    4. Possible

  7. Two events are said to be mutually exclusive if:

    1. They can happed at the same time

    2. One affects the other

    3. They cannot happen together

    4. They are always equal

  8. The P(A)=0.4, P(B)=0.5. If A and B are independent, what is P(A U B)?

    1. 0.2

    2. 0.1

    3. 0.7

    4. 0.9

  9. If an event E consist of only one outcome, then it is called:

    1. Single event

    2. An elementary event

    3. An exclusive event

    4. Mutually event

  10. In tossing a coin, the event Head and event tail are:

    1. Same events

    2. Complementary events

    3. Real events

    4. Impossible events

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Hashim rolled a dice and tossed a coin simultaneously. Draw possibility diagram.

  2. A bag contains 4 red and 3 green balls, Kabeer draw two balls one after the other with replacement (the second is drawn after the first is replaced). Find the probability that the first ball is red and the second ball is also red.

  3. If the probability of an event A is , then find the probability of the event Not A.

  4. Two coind are tossed together. What is the probability of getting different faces on the coins?

  5. Majid dealt two cards successively (without replacement) from a well shuffled deck of 52 playing card. Find the probability that the first card is a king and the second card is a queen.

  6. A teacher randomly selects one boy and one girl from a group of 2 boys (Hamid, Ahmad) and 2 girls (Zainab, Samia). Draw a tree diagram and list the sample space for all possible outcomes.

  7. A bag contain 3 white and 2 black marbles. Two marbles are drawn one after the other without replacement. Find the probability that the first marble is white and the second marble is also white.

  8. A bag contains 5 blue balls and 4 green balls. Abu Bakar draws a ball at random from the bag. Find the probability that the ball drawn is (i) blue (ii) not blue.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. A dice is rolled and coin is tossed together: (i) Find sample space by drawing possibility diagram. (ii) Find sample space by sketching tree diagram. (iii) What is the probability of getting a tail and an even number?

  2. One letter is chosen from the word PUNJAB and another from LAHORE. What is the probability that: (i) both are vowels (ii) one is constant and other is vowel.

  3. Three fair coins are tossed together, Find the probability of getting: (i) All tails (ii) At least one head (iii) At most two tails.