| 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) \(\frac{2}{9}\) |
A board has 16 squares as shown in the figure. Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is:
Three distinct numbers are selected randomly from the set \( \{1, 2, 3, \dots, 40\} \). If the probability, that the selected numbers are in an increasing G.P. is \( \frac{m}{n} \), where \( \gcd(m, n) = 1 \), then \( m + n \) is equal to:
Identify the part of the sentence that contains a grammatical error:
Each of the boys have submitted their assignment on time.
Rearrange the following parts to form a meaningful and grammatically correct sentence:
P. a healthy diet and regular exercise
Q. are important habits
R. that help maintain good physical and mental health
S. especially in today's busy world