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Assertion Reason Questions for Class 10 Maths Chapter 15 Probability

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Assertion Reason Questions for Class 10 Maths Chapter 15 Probability

Assertion Reason Questions for Class 10 Maths Chapter 15 Probability

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) & Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) & Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.

Q.1. Assertion: The probability of getting a prime number when a die is thrown once is 2/3.
Reason: Prime numbers on a die are 2, 3, 5.

Show Answer Answer: (d)

Q.2. Assertion (A): The probability of a sure event is 1.
Reason (R): Let E be an event. Then 0 ≤ P (E) ≤ 1.

Answer Answer: (b)

Q.3. Assertion: The probability of winning a game is 0.4, then the probability of losing it, is 0.6.
Reason: P(E) + P (not E) = 1

Show Answer Answer: (a)

Q.4. Assertion: If a die is thrown, the probability of getting a number less than 3 & greater than 2 is zero.
Reason: Probability of an impossible event is zero.

Show Answer Answer: (a)

Q.5. Assertion: If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a white marble from the box is 5/11.
Reason: P(E̅) = 1 – P(E), where E is any event.

Show Answer Answer: (d)

Q.6. Assertion (A): If a pair of dice is thrown once, then the probability of getting a sum of 8 is 5/36.
Reason (R): In a simultaneous toss of two coins, the probability of getting exactly one head is 1/2.

Answer Answer: (b)

Q.7. Assertion: Card numbered as 1, 2, 3..………..15 are put in a box and mixed thoroughly, one card is then drawn at random. The probability of drawing an even number is 7/15.
Reason: For any event E, we have 0 ≤ P(E) ≤ 1.

Show Answer Answer: (c)

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