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Mathematics

A letter of English alphabet is chosen at random. The probability that it is a letter of the word ENGINEERING is:

  1. (526)\Big(\dfrac{5}{26}\Big)

  2. (313)\Big(\dfrac{3}{13}\Big)

  3. (1126)\Big(\dfrac{11}{26}\Big)

  4. (613)\Big(\dfrac{6}{13}\Big)

Probability

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Answer

The experiment consists of choosing a letter from the entire English alphabet.

Total number of outcomes = 26

Let E be the event of choosing a letter of the word ENGINEERING, then

E = {E, N, G, I, R}

The number of favorable outcomes to the event E = 5

∴ P(E) = Number of favorable outcomesTotal number of outcomes=526\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{5}{26}

Hence, option 1 is the correct option.

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