Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: An elevator starts with m passengers and stops at n floors (m $\leq$ n). The probability that no two passengers alight at the same floor is $\frac{^np_m}{m_n}$ Reason R: If (n + 1) p is an integer, say m, then $p(x=r)= ^nC_rp^Ω(1-p)^{n-Ω} $ is maximum when r = m or r = m -1 In the light of the above statements, choose the most appropriate answer from the options given below :

Question

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: An elevator starts with m passengers and stops at n floors (m $\leq$  n). The probability that no two passengers alight at the same floor is  $\frac{^np_m}{m_n}$ Reason R: If (n + 1) p is an integer, say m, then $p(x=r)= ^nC_rp^Ω(1-p)^{n-Ω} $ is maximum when r = m or r = m -1 In the light of the above statements, choose the most appropriate answer from the options given below :

cdquestions Admin · Accepted Answer

The correct answer is(B): Both A and R are correct but R is not the correct explanation of A

Answer

Both A and R are correct and R is the correct explanation of A

Answer

Both A and R are correct but R is not the correct explanation of A

Answer

A is correct but R is not corret

Answer

A is not correct but R is correct

List-I	List-II (Adverbs)
(A) P(exactly 2 heads)	(I) \(\frac{1}{4}\)
(B) P(at least 1 head)	(II) \(1\)
(C) P(at most 2 heads)	(III) \(\frac{3}{4}\)
(D) P(exactly 1 head)	(IV) \(\frac{1}{2}\)

LIST-I(EVENT)	LIST-II(PROBABILITY)
(A) The sum of the number is greater than 11	(i) 0
(B) The sum of the number is 4 or less	(ii) 1/15
(C) The sum of the number is 4	(iii) 2/15
(D) The sum of the number is 4	(iv) 3/15

The Correct Option is B

Solution and Explanation

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