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Class 10 Maths Chapter 12 Probability Test 2 – New Syllabus 2027

Class 10 Math Chapter 12 Exercise 12.3 and Review Exercise

Class 10 Mathematics Chapter 12: Probability Class Test 2 is designed according to the Punjab Board 2027 Model Papers. This test covers Exercise 12.3 and Review Exercise and includes important Probability MCQs, short questions, and practice problems to help Class 10 students prepare effectively for their Mathematics examination.

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Unit Wise Class Test
T-2
Unit 12: Probability
Time: 5 minutes
(Objective Type) Ex 12.3 & Review Ex
Total Marks: 5
1. Tick the correct answer. (1 × 5 = 5)
(i) If P(A) = 0.3 and P(B | A) = 0.2 then P(A ∩ B) =
(a) 0.6
(b) 0.5
(c) 0.15
(d) 0.06
(ii) Given independent events A and B with probabilities P(A) = 0.5 and P(B) = 0.4 then P(A ∩ B) =
(a) 0.02
(b) 0.10
(c) 0.20
(d) Could not be determined
(iii) When a card is taken out from an ordinary pack of playing cards, then total number of possible outcomes is:
(a) 2
(b) 52
(c) 10
(d) 100
(iv) A card is drawn from ordinary pack of 52 cards, the probability of the card to be a king or a heart is:
(a) 1 13
(b) 1 4
(c) 16 52
(d) 17 52
(v) A card is taken out from ordinary pack of 52 cards, the probability of the card to be a hearts cards is:
(a) 1 52
(b) 1 13
(c) 1 4
(d) 1 2
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Unit Wise Class Test
T-2
Unit 12: Probability
Time: 35 minutes
(Subjective Type) Ex 12.3 & Review Ex
Total Marks: 20
2. Write short answers to the following questions: (6 × 2 = 12)
(i) Two numbers are randomly chosen from 1 to 10 with replacement. Find the probability that both are prime.
(ii) One letter is chosen from the word PUNJAB and another from LAHORE. What is the probability that both are vowels?
(iii) Two dice are rolled. Find the probability of getting an odd number on one and a multiple of 2 on other.
(iv) If two cards are selected from a standard deck of 52 cards without replacement, find the probability that Both are black.
(v) Arshia selects a day from (Tuesday, Wednesday) and a time from (Morning, Evening). Draw a possibility diagram. Also sketch a tree diagram.
Possibility / Tree Diagram — Student Workspace
(vi) A card is drawn from a deck of cards. Find the probability of getting an ace or a spade card.
Note: Answer the following Questions. (4 + 4 = 8)
3. 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.
4. If two dice are rolled, then find the probability of getting the product of face values 6 or the difference of face values 5.

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