A Fibonacci draw

Probability Level 2

If I pick a number at random among the first 1000 Fibonacci numbers, what's the probability that it will be even?

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Santi Spadaro by Santi Spadaro , 39, Italy

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1 solution

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Aug 11, 2018

1 , 1 , 2 , 3 , 5 , 8 , 13 , 21 , 34 , 55 . . . {\color{#BBBBBB}1},{\color{#BBBBBB}1},{\color{#D61F06}2},{\color{#BBBBBB}3},{\color{#BBBBBB}5},{\color{#D61F06}8},{\color{#BBBBBB}13},{\color{#BBBBBB}21},{\color{#D61F06}34},{\color{#BBBBBB}55}...

The pattern keeps going on,so among three consecutive Fibonacci numbers,there are always one even and two odds.

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