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Punjab (PTB) · Chapter test · Free

1st Year Statistics Chapter 6 TestProbability

30 marks · 40 minutes · 21 questions. Covers: CHAP 6: Probability.

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1st Year Statistics Chapter 6 Test

1st Year · Statistics · Punjab (PTB)

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

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

  1. The probability of drawing a king of spade from a pack of 52 cards is

  2. When a pair of dice is rolled, the sum of uppermost dots vary from:

    1. 0 to 10

    2. 1 to 11

    3. 2 to 19

    4. 2 to 12

  3. If , then A and B are

    1. Mutually exclusive

    2. Independent

    3. Not mutually exclusive

    4. None of these

  4. When three coins are tossed simultaneously, P(3 heads) is

  5. If one event is unaffected by the outcome of another event, the two events are said to be

    1. Dependent

    2. Independent

    3. Mutually exclusive

    4. Both (b) and (c)

  6. The probability of drawing any one spade card is

  7. A 300 years old person is an example of a

    1. Difference set

    2. Null set

    3. Subset

    4. None of these

  8. The probability of red card out of 52 cards is

    4. Zero

  9. The difference between A and B shown by

    1. A - B

    2. B - A

    3. A/B

    4. None of these

  10. If  and , then A and B are

    1. Difference

    2. Equal

    3. Nor (a) and (b)

    4. None of these

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

  1. What is the sample space when three distinct coins are tossed simultaneously? Also specify the event A 'exactly two heads occur'.

  2. Solve: 

  3. Evaluate the following: 

  4. Let U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A= {2, 3, 4, 5}, B= {5, 6, 7, 8} and C= {3, 4, 5, 6}. List the members of the following sets: 

  5. Solve: 

  6. Let A and B be two events associated with an experiment. Let P(A) = 0.4, . Let P(B) = p. Find 'p' when A and B are mutually exclusive.

  7. If  find P(B).

  8. In how many permutation from the word "Pakistan" be formed?

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

  1. For two independent events A and B, P(A) = 0.25 and P(B) = 0.40. Find ?

  2. Consider two events A and B such that  and . Find P(B).

  3. A bag contains 3 red and 5 black balls, and another bag contains 5 red and 3 black balls. A ball is drawn from a bag selected at random. Find the probability that it is red.