In SURAT (5 letters), 'RA' appears once in 4 consecutive pairs: P(RA|SURAT)=1/4. In RAMPUR (6 letters), 'RA' appears once in 5 pairs: P(RA|RAMPUR)=1/5. By Bayes with equal priors: P(SURAT∣RA)=1/4+1/51/4=9/201/4=95.
A letter is expected to come either from city 'SURAT' or from city 'RAMPUR' through post office. If on the way, envelope containing the letter is…
CUET UG 2022 — Mathematics Algebra
2022mcqhard
A letter is expected to come either from city 'SURAT' or from city 'RAMPUR' through post office. If on the way, envelope containing the letter is damaged and only two consecutive alphabets RA are visible on it, then the probability that letter comes from the city 'SURAT' is :
Official previous-year question
Held on 17 Aug 2022 · Verified 13 Jul 2026.
Options
- A
95
- B
94
- C
85
- D
83
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