Suppose that in a certain country, the probability of having red hair is 0.20, and the probability of having blue eyes is 0.30. The probability of having both characteristics is 0.06. The probabilities are shown in the Venn diagram, where ?A is the event that a randomly chosen inhabitant of this country has red hair, and ?B is the event that a randomly chosen inhabitant has blue eyes. A not B     Both        B not A 0.14           0.06         0.24 A=0.20 B= 0.30 Calculate the conditional probability of a person having blue eyes given that he or she has red hair, and use the value to determine whether having blue eyes and red hair are independent. P(B/A=) Having red hair is?    of having blue eyes because?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Suppose that in a certain country, the probability of having red hair is 0.20, and the probability of having blue eyes is 0.30. The probability of having both characteristics is 0.06. The probabilities are shown in the Venn diagram, where ?A is the event that a randomly chosen inhabitant of this country has red hair, and ?B is the event that a randomly chosen inhabitant has blue eyes.

A not B     Both        B not A

0.14           0.06         0.24

A=0.20 B= 0.30

Calculate the conditional probability of a person having blue eyes given that he or she has red hair, and use the value to determine whether having blue eyes and red hair are independent.

P(B/A=)

Having red hair is?    of having blue eyes because?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON