When randomly selecting an​ adult, A denotes the event of selecting someone with blue eyes. What do Upper P (Upper A )P(A) and Upper P (Upper A overbar )PA ​represent?

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Answer:

P(A): It is the probability of selecting someone with blue eyes.  

[tex]P(\bar{A})[/tex]: It is the probability of selecting someone who does not have blue eyes

Step-by-step explanation:

We are given the following in the question:

A: event of selecting someone with blue eyes.

Probability:

  • The probability of an event tells the chances of happening of that event.
  • It is mathematically defined as:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

Complement of an event:

  • It is the event that consist of all outcomes not happening in A.
  • It is represented by [tex]\bar{A}[/tex]
  • [tex]P(A) + P(\bar{A}) = 1[/tex]

We have to explain the representation:

a) P(A): It is the probability of selecting someone with blue eyes.

It gives us the chances of someone having blue eyes.

b) [tex]P(\bar{A})[/tex]: It is the probability of selecting someone who does not have blue eyes

It is the chances of selecting someone who does not have blue eyes.