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Here are the probabilities of two independent events.

Event A 2.7 × 10–2 Event B 3.4 × 10–4

 

Work out the probability of only one of the events happening.

Give your answer to 3 significant figures.

 Oct 27, 2016
 #1
avatar+257 
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i dont know but i be ballin all night though

 Oct 27, 2016
 #2
avatar+21614 
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The probability that A occurs  =  0.027

The probability that B occurs  =  0.00034

 

The probability that A doesn't occur  =  1.000 - 0.027  =  0.973

The probability that B doesn't occur  =  1.00000 - 0.00034  =  0.99966

 

The probability that only one of these independent occurs 

   =  ( probability that A occurs and B doesn't occur )

               + ( probability that B occurs and A doesn't occur )

 

The probability that A occurs and B doesn't occur  =  0.027 x 0.99966  =  0.02699082

The probability that B occurs and A doesn't occur  =  0.00034 x 0.973  =  0.00033082

 

Adding these two values together  =  0.0273  (rounded to 3 significant digits) 

 Oct 27, 2016

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