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) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and 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
1.) Assertion: The probability of an event that cannot happen or which is impossible, is equal to zero.
Reason: The probability lies between 0 and 1. Hence, it cannot be negative
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
2.) Assertion: If P(E) = 0.07, then its probability of ‘not E’ is 0.93
Reason : P(E) + P(not E) = 1
Since, P(E) = 0.05
P(not E) = 1 – P(E)
P(not E) = 1 – 0.07P = 0.93
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
3.) Assertion: . A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then probability of getting red balls only 3/8.
Reason: Probability of getting red balls = number of red balls/total number of balls
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
4.) Assertion: The sum of the probabilities of all the elementary events of an experiment is 1.
Reason: If an event cannot occur, then its probability is 0.
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
5.) Assertion: The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is 14.
Reason: . If the probability of an event is p, the probability of its complementary event will be 1-p.
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
6.) Assertion: The probability of getting exactly one head in tossing a pair of coins is 1/2.
Reason: The sample space of two coin tossed is ={HH,TT,HT,TH}=4
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.7
7.) Assertion: The probability of getting a spade card from a well shuffled deck of 52 cards is 13.
Reason: The probability of getting less than 3 in a single throw of a die is 1/3.
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
8.) Assertion: -0.4 can not be the probability of an event.
Reason: The probability of an event can neither be a negative value, nor it can exceed unity.
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
9.) Assertion: Three coins are tossed simultaneously. The probability of getting all heads is 1/8.
Reason: The chance of throwing 5 with an ordinary die is 1/6.
a)Both Assertion and Reason are correct and reason is correct explanation for the.
b)Both Assertion and Reason are false but reason is not correct explanation for assertion.
c)Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
10) 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.
Answer: (d)
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