A box contains 11 tickets numbered from 1 to 11. Two ticket…

Maths Probability General More Than One Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

A box contains 11 tickets numbered from 1 to 11. Two tickets are drawn similtaneously at random.

Let E 1 denotes the event that the sum of the numbers on the tickets drawn is even

and E 2 denotes the event that the sum of the numbers on the tickets drawn is odd

Which of the following hold good?

P(E 1 /E 2 ) = P(E 2 /E 1 )

E 1 and E 2 are exhaustive

P(E 2 ) > P(E 1 )

E 1 and E 2 are equally likely

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a,b,c)E 1 : Both even or both odd

P(E 1 ) = = ⇒ P(E 2 )= 1 – P (E 1 ) =

(i) P(E 1 / E 2 ) = = 0 ⇒ P(E 2 / E 1 ) = = 0

(ii) E 1 and E 2 exhaustive

(iii) P(E 2 ) > P(E 1 )

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