Question

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?

Answer 1

Answer:

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

$P(\bar{A})$: 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:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Complement of an event:

• It is the event that consist of all outcomes not happening in A.

• It is represented by $\bar{A}$

• $P(A) + P(\bar{A}) = 1$

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) $P(\bar{A})$: 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.