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Axiomatic Approach

The probabili...

Question

The probability that an event happen in one trial is $0.8.$ The probability that the event happens at least once in three trails is

A

0.896

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B

0.791

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C

0.642

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D

0.992

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Solution

The correct option is A $0.992$
$P r o b a b i l i t y t h a t e v e n t h a p p e n s i n o n e t r i a l = 0.8 P r o b a b i l i t y t h a t e v e n t o c c u r s a t l e a s t o n c e i n t h r e e t r i a l s = 1 - p r o b a b i l t y t h a t i t d o e s e n^{'} t o c c u r s i n a n y o f t h e t h r e e t r i a l s = 1 - 0.2 * 0.2 * 0.2 = 0.992$

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