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28 January, 20:58

A) If P (A) = 0.03, find the probability of complement of A, P (A). B) A certain group of women has a 0.44% rate of red / green color blindness. If a women is randomly selected, what is the probability that she does not have red / green blindness?

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  1. 28 January, 21:12
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    (A) The probability of the complement of event A is 0.97.

    (B) The probability that a randomly selected women does not have red / green color blindness is 0.9956.

    Step-by-step explanation:

    Complement of any event, say E, is the event of its not happening. For instance, If E = it rains then the complement of E is, E' = it does not rains.

    (A)

    It is provided that the probability of event A is, P (A) = 0.03.

    Then the probability of complement of A is,

    P (A') = 1 - P (A)

    = 1 - 0.03

    = 0.97

    Thus, the probability of the complement of event A is 0.97.

    (B)

    The probability of a woman has red / green color blindness is,

    P (Color blindness) = 0.0044.

    The probability that a randomly selected women does not have red / green color blindness is,

    P (No Color blindness) = 1 - P (Color blindness)

    = 1 - 0.0044

    = 0.9956

    Thus, the probability that a randomly selected women does not have red / green color blindness is 0.9956.
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