Home Maths Probability Conditional Probability, Baye's Theorem A letter is known to have come either from L…
Maths Probability Conditional Probability, Baye's Theorem Single Correct MCQ
Published on: August 14, 2026

A letter is known to have come either from LONDON or CLIFTON; on the postmark only the two consecutive letters ON are legible. The probability that it came from LONDON is

A
B
C
D

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The correct answer is:
B

We define the following events :

Selecting a pair of consecutive letter from the word LONDON.

Selecting a pair of consecutive letters from the word CLIFTON.

E : Selecting a pair of letters ‘ON’.

Then as there are 5 pairs of consecutive letters out of which 2 are ON.

as there are 6 pairs of consecutive letters of which one is ON.

∴ ∴ The required probability is

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