There Goes The Dinosaurs

Probability Level 2

Each year, there is a 1 in 500 chance that a meteor will hit the earth's surface. What is the probability that within 500 years, there is a meteor that will hit the earth's surface?

63 \%

37 \%

100 \%

50 \%

1 solution

Zee Ell
Dec 3, 2017

The probability of (no meteor hits the Earth's surface in 500 years):

$( 1 - \frac {1}{500} )^{500} = 0.3675 \text { (4 d. p.) }$

The probability of (at least one meteor hits the Earth's surface in 500 years):

$1 - 0.3675 = 0.6325 \text { (4 d. p.) } = 0.63 \text { (2 d. p.) } = \boxed { 63 \% }$

There Goes The Dinosaurs

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