At a beach, the probability of having high waves on any given day is 0.22 . 3. What is the probability of having high waves on three consecutive days at this beach? A. 0.0106 B. 0.0206 C. 0.0484 D. 0.4746

To determine the probability of having high waves on three consecutive days at the beach, we'll assume that the events are independent. This means the probability of high waves on each day does not affect the probability on any other day. Given: - Probability of high waves on any given day, \( P = 0.22 \) The probability of having high waves on three consecutive days is calculated by multiplying the probability for each day: \[ P(\text{3 consecutive days}) = P \times P \times P = 0.22 \times 0.22 \times 0.22 \] Let's compute this step by step: 1. First, calculate \( 0.22 \times 0.22 \): \[ 0.22 \times 0.22 = 0.0484 \] 2. Next, multiply the result by \( 0.22 \): \[ 0.0484 \times 0.22 = 0.010648 \] Rounding to four decimal places gives \( 0.0106 \). **Answer:** A. 0.0106