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Question

Mathematics Question on Probability

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 npmmn\frac{^np_m}{m_n}
Reason R: If (n + 1) p is an integer, say m, thenp(x=r)=nCrpΩ(1p)nΩp(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 :

A

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

B

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

C

A is correct but R is not corret

D

A is not correct but R is correct

Answer

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

Explanation

Solution

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