Geometric Probability

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Geometric Probability
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Presentation transcript:

Geometric Probability

White area = Area Square – Area Circle 100 – 78.54 = 21.46 What is the probability that a dart will land in the white section given that it lands in the square. r=5 Area of square = 10 x 10 = 100 Area of circle = πr2 = 78.54 White area = Area Square – Area Circle 100 – 78.54 = 21.46 Probability = 21.46 = 21.46 % 100

Find the probability of a dart landing in the WHITE area. A white = A big - A small = 706.86 – 113.1 = 593.76 Probability = A white = 593.76 = 0.84 = 84% A big 706.86

A shaded = A big - A med + A small = (50 x 50) – (40 x 40) + (30 x 30) 30 cm 40 cm 50 cm A shaded = A big - A med + A small = (50 x 50) – (40 x 40) + (30 x 30) = 2500 – 1600 + 900 = 1800 cm2 Probability = 1800 = 0.72 = 72% 2500

Workbook: pg 237 # 1,2,3 251 # 10