Correct answer: 8
Explanation:
When a coin is tossed, it has 2 possible outcomes: Heads (H) or Tails (T). For three coins, each coin can independently show either Heads or Tails. Therefore, the total number of outcomes for three coins is: \[ 2 \times 2 \times 2 = 8 \] The possible outcomes are: \[ HHH, HHT, HTH, HTT, THH, THT, TTH, TTT \]
Hence, the total number of outcomes is 8.
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: