he table shows the responses of 125 people to the question of whether they prefer Coffee or Tea or Neither. Coffee Tea Neither Total Male 30 10 15 55 Female 20 35 15 70 Total 50 45 30 125 1.What is the probability that a randomly selected person prefers Coffee given that the person is Female? 2. Given that a Female and Male are randomly selected for a “blind” date, what is the probability they will both prefer Tea?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Question

The table shows the responses of 125 people to the question of whether they prefer Coffee or Tea or Neither.

 

  1.                                Coffee                          Tea                        Neither           Total
  2. Male                           30                                10                                15                    55
  3. Female                       20                                35                                15                    70
  4. Total                           50                                45                                30                 125

           

1.What is the probability that a randomly selected person prefers Coffee given that the person is Female?

2. Given that a Female and Male are randomly selected for a “blind” date, what is the probability they will both prefer Tea?

Expert Solution
Step 1

General formula of probability is , 

Probability =Number of favorable outcomes Total outcomes 

Conditional probability : -

Conditional probability of event A , given that B has occurred is

P( A | B ) = P( A and B )P(B)

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning