CA Foundation · Quantitative Aptitude · Probability
The letters of the word 'MUMBAI' are arranged in all possible ways. What is the probability that the two M's are together?
The probability is 1/3. MUMBAI has 6!/2! = 360 distinct arrangements. Treating the two M's as a single block gives 5! = 120 arrangements, so the required probability is 120/360, which equals 1/3.
- A1/3Correct
- B1/6
- C2/3
- D5/6
Explanation
Total arrangements = 6!/2! = 360. Treat MM as one unit: 5! = 120 arrangements. Probability = 120/360 = 1/3. The option 2/3 is the complement, the probability that the M's are apart.
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