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Class 10 Mathematics Chapter 12 Probability Class Test 4 – Full Chapter Test | Punjab Board 2027
Class 10 Math Chapter 12 Full unit Test
Class 10 Mathematics Chapter 12: Probability Class Test 4 is a complete Full Chapter Test prepared according to the Punjab Board 2027 Model Papers pattern. This Probability test covers important concepts including sample space, events, probability, independent events, addition rule, multiplication rule, complementary events, elementary events, and probability of cards, dice and coins. It is useful for Class 10 Mathematics Punjab Board 2027 preparation, school tests, revision and exam practice.
Full Unit Test
Unit 12: Probability
T-4
Objective Type
Time Allowed: 20 Min.
Max. Marks: 15
Note: Four possible answer A, B, C and D to each question are given.
The choice which you think is correct, fill that circle front of that question with
Marker or ink pen in the answer book. Cutting filling two or more circles will
result in zero mark in that question.
(i) Shaded region in which of the following figure represents
A ∩ B?
(ii) Probability of sure event is:
(iii) Given sample space is
S = {1,2,3,4,5,6}.
If A = {1,2,3,4,5} then
P(A) =
(iv) Shaded region in adjacent figure represents:
(v) Addition rule of probability reduces to
P(A ∪ B) = P(A) + P(B)
if P(A ∩ B) =
(vi) P(A ∪ B) + P(A ∩ B) =
(vii) If A and B are two events, then the identify
P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
is called:
(viii) The probability of getting a number greater than 6 on dice is:
(ix) Given independent events A and B with probabilities
P(A) = 0.5 and
P(B) = 0.4 then
P(A ∩ B) =
(x) Events A and B are called independent events if:
(xi) If P(A) = 0.3 and
P(B | A) = 0.2 then
P(A ∩ B) =
(xii) A card is taken from an ordinary pack of 52 cards,
the probability of the card not to be a hearts card is:
(xiii) The set of all possible outcomes is called:
(xiv) Three coins are tossed together. Sample space of this
random experiment is:
(xv) Given sample space is
S = {1,2,3,4,5,6}.
Which of the following is an example of elementary event?
Hers is Subjective Part of Paper 2027.
Subjective Type
(Part-I)
Time Allowed: 2:10 hours
Subjective Type
(Part-I)
(Part-I)
Max. Marks: 60
2. Write short answers to any six (06) questions:
(2 × 6 = 12)
- Define mutually exclusive event.
- Express the sample space for rolling two dice using tree diagram.
- Hashim rolled a dice and tossed a coin simultaneously. Draw a possibility diagram.
- 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.
- Two dice are rolled. Find the probability that the sum of outcomes is (i) equal to 4
- Two coins are tossed together. What is the probability of getting different faces on the coins?
- A dice is rolled and a coin is tossed simultaneously. Find the probability that the dice shows an odd number and the coin shows a head.
- Express the sample space for tossing three coins using tree diagram.
- 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.
3. Write short answers to any six (06) questions:
(2 × 6 = 12)
- A coin is tossed thrice. What is the probability of getting two consecutive tails?
- Two unbiased dice are rolled once. Find sample space by sketching tree diagram.
- Two unbiased dice are rolled once. Find sample space by drawing possibility diagram.
- Three fair coins are tossed together. Find the probability of getting no head.
- A number is selected at random from the set of whole numbers 1 to 15, both inclusive. Find the probability that the number selected is odd.
- If the probability of an event A is 7 10 , then find the probability of the event “not A”.
- Write the formula of Addition Law of Probability.
- If P(A) = 0.37, P(B) = 0.42, P(A ∩ B) = 0.09 , then find P(A ∪ B).
- If A and B are two events such that P(A) = 1 4 , P(B) = 1 2 and P(A ∩ B) = 1 8 , find P(A ∪ B).
4. Write short answers to any six (06) questions:
(2 × 6 = 12)
- The probability of a team winning any match is 3 10 and the probability of losing any match is 2 10. What is the probability that: the team wins or loses a particular match.
- The probability of a team winning any match is 3 10 and the probability of losing any match is 2 10. What is the probability that: the team neither wins nor loses a match.
- Find the probability of getting a sum of 5 or 7 in a throw of two dice.
- A card is taken out at random from a standard pack of 52 cards. Find the probability of taking out a king or a Jack.
- A dice is thrown twice. What is the probability that at least one of the two throws comes up with number 3.
- There are 15 cards in a bag marked as 1, 2, 3, …., 15. Find the probability of picking a card at random, the number written on which is a multiple of 5 or 7.
- At a busy intersection, 50% of vehicles turn right, 30% turn left and 20% go straight. What is the probability that a randomly selected vehicle turn left or right?
- Two fair coins are tossed. What is the probability of getting either two heads or two tails?
- A and B are two events such that, P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16 . Find P(Ac).
(Part-II)
Note: Attempt any two (02) questions.
(2 × 8 = 16)
5:
-
If A is an event of a random experiment such that
P(A) : P(Ac) = 17 : 15
and n(S) = 640,
then find:
(i) P(Ac)(ii) n(A)
-
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 a probability of getting a tail and an even number?
6:
- A dice is rolled twice. Find the probability of having a number greater than 4 on each roll.
- A flower is selected at random from a basket containing 50 yellow, 70 red and 80 white flowers. Find the probability of selecting a yellow or red flower?
7:
- Two dice are rolled together. Find the probability of getting a same number on the both dice or sum of faces as 10.
- In an apartment, selecting a house from door numbers 1 to 50 randomly, find the probability of getting the door number of the house to be an even number or a perfect square number.
(Part-III)
Note: Attempt any one (01) question.
(1 × 8 = 8)
8:
- In a single throw of two dice, find the probability of having sum of 7 or 11.
- Two fair coins are tossed once. What is the probability of getting at least one head or two heads.
9:
- A single dice is rolled twice. Find the probability that one roll is a multiple of 3 and the other is a 5.
- Saleem draws two cards one by one without replacement from a well shuffled pack of 52 playing cards. What is the probability that first card is jack and the second card is queen.
