Answer:
Pr = 15.71% ≈ 16%
Step-by-step explanation:
Let's begin by listing out the data given unto us, we have:
Length of board = 3 ft, Width of board = 5 ft,
Area of board = Length * Width = 3 * 5 = 15 ft²,
Diameter of each circle (d) = 1 ft; r = d ÷ 2
⇒ r = 1 ÷ 2 = 0.5 ft
Area of each circle = πr² = π * 0.5² = 0.785 ft²
Area of the three circles = 3πr² = 2.356 ft²
Probability = favourable outcome ÷ Total outcome
Probability of the penny falling into the hole = area of the three circles ÷ area of board
Pr = 2.356 ÷ 15 = 0.1571
Converting to percentage, we multiply by 100
Pr = 0.1571 * 100
Pr = 15.71% ≈ 16%
Therefore, the probability of the penny falling into the hole is 15.71% ≈ 16%
