My uncle plays darts on a circular dart board of radius 20 cm. He
assumes a dart lands anywhere on the board with equal probability.
What is the probability that his dart lands less than 5 cm from the
centre of the board?
That his dart lands exactly 5 cm from the centre?
c) My uncle wants to divide his board into ten “doughnuts” defined
by circles of radii
. Find the radii of these circles so that a dart has the same
probability of landing in each “doughnut”.
Mathematics Homework Solutions
#13319
Probabilities : Darts on a Dartboard
My uncle plays darts on a circular dart board of radius 20 cm. He assumes a dart lands anywhere on the board with equal probability.
a) What is the probability that his dart lands less than 5 cm from the centre of the board?
b) That his dart lands exactly 5 cm from the centre?
c) My uncle wants to divide his board into ten "doughnuts" defined by circles of radii r0
Probabilities of darts landing in specific locations are calculated. The solution is detailed and well presented.
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