| List-I (Sentences) | List-II (Adverbs) |
| (A) \( P(A \cap B) \) | (I) \(\frac{2}{5}\) |
| (B) \( P(A | B) \) | (II)\( \frac{4}{15}\) |
| (C) \( P(A' | B) \) | (III) \(\frac{3}{5}\) |
| (D) \( P(A' \cap B') \) | (IV) \(\frac{2}{9}\) |
If the probability distribution is given by:
| X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| P(x) | 0 | k | 2k | 2k | 3k | kΒ² | 2kΒ² | 7kΒ² + k |
Then find: \( P(3 < x \leq 6) \)
If \(S=\{1,2,....,50\}\), two numbers \(\alpha\) and \(\beta\) are selected at random find the probability that product is divisible by 3 :