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12 January, 06:35

Suppose p (

a. = 0. 48 and p (

b. = 0. 62.

a. can a and b be mutually exclusive? why or why not.

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Answers (1)
  1. 12 January, 08:31
    0
    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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