Step 1: Understand equally likely outcomes
Equally likely outcomes refer to situations where each possible outcome has the same probability of occurring.
Step 2: Analyze each option
Option (1): Tossing a coin has two equally likely outcomes: heads and tails.
Option (2): Tossing two coins simultaneously has four equally likely outcomes: (HH, HT, TH, TT).
Option (3): Rolling two dice also has 36 equally likely outcomes, as each die has 6 faces, giving 6 × 6 = 36 possibilities.
Step 3: Conclusion
All of the options represent situations with equally likely outcomes. Hence, the correct option is \( (4) \).
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:
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: