Mathematics · Probability

JEE Main 2024 — 6 April, Shift 2 — Question 3

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:

Option A:
$\frac{12}{25}$
Correct
Option B:
$\frac{18}{25}$
Option C:
$\frac{4}{25}$
Option D:
$\frac{6}{25}$

Answer: A

Step-by-step solution

Total method $=5^{3}$

faverable $={ }^{5} \mathrm{C}_{2}\left(2^{3}-2\right)=60$

probability $=\frac{60}{125}=\frac{12}{25}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 6 April, Shift 2
Subject: Mathematics
Chapter: Probability
Topic: Problems based on P & C

From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable X denote the number of…

Answer: A

Step-by-step solution

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