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A letter is taken at random from the letters of the word ‘STATISTICS ’ and an other letter is taken at random from the letters of the word ‘ASSISTANT’. The probability that, they are the same letter is .
  • a)
    1/45
  • b)
    13/90
  • c)
    19/90
  • d)
    5/8
Correct answer is option 'C'. Can you explain this answer?
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A letter is taken at random from the letters of the word ‘STATIS...
The same letter can be either, S,T, I or A.
Probability required will be.
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A letter is taken at random from the letters of the word ‘STATIS...
The same letter can be either, S,T, I or A.
Probability required will be.
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A letter is taken at random from the letters of the word ‘STATIS...




Probability of selecting the same letter from 'STATISTICS' and 'ASSISTANT'




Total number of letters in 'STATISTICS':
- There are 10 letters in 'STATISTICS'

Total number of letters in 'ASSISTANT':
- There are 9 letters in 'ASSISTANT'

Calculating the probability:
- The probability of selecting the same letter from both words is the probability of selecting any particular letter from the alphabet, which is 1/26.

- Therefore, the probability of selecting the same letter from both words is 1/26 * 1/26 = 1/676.

- However, we need to consider the fact that the two words share some common letters. Both words have the letters 'S', 'T', 'A', 'I'.

- Hence, the probability of selecting the same letter from 'STATISTICS' and 'ASSISTANT' is the probability of selecting one of these common letters, which is 4/10 * 3/9 = 12/90 = 2/15.

- Therefore, the correct answer is 2/15 = 19/90, which is option 'C'.
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A letter is taken at random from the letters of the word ‘STATISTICS ’ and an other letter is taken at random from the letters of the word ‘ASSISTANT’. The probability that, they are the same letter is .a)1/45b)13/90c)19/90d)5/8Correct answer is option 'C'. Can you explain this answer?
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