Question:

If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is:

Updated On: Nov 26, 2024
  • $\frac{12}{25}$
  • $\frac{18}{25}$
  • $\frac{4}{25}$
  • $\frac{6}{25}$
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The Correct Option is A

Solution and Explanation

\[ \text{Total methods} = 5^3 \]

\[ \text{Favorable} = ^3C_2 \times (2^3 - 2) = 60 \]

\[ \text{Probability} = \frac{60}{125} = \frac{12}{25} \]

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