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  • 02-02-2018
  • Mathematics
contestada

Suppose p (
a. = 0 . 48 and p (
b. = 0 . 62 .
a. can a and b be mutually exclusive? why or why not.

Respuesta :

mathmate
mathmate mathmate
  • 02-02-2018
If a and b are mutually exclusive, the maximum value of the sum
S=P(a) + P(b) 
cannot exceed 1.  
Since 0.48+0.62=1.1 >1,
a and b cannot be mutually exclusive.

If it is still not clear, sketch a Venn diagram to convince yourself that it is not possible to draw a and b such that P(a)+P(b)>1 while a and b are mutually exclusive.
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