A set of 6 cards contains two black cards numbered 1 and 2 and four red cards numbered 1, 2, 3, 4. Each of the questions below refers to uniformly selecting one card from the set of 6. i What is the probability that you draw a card whose value is 4? 1 ii What is the probability that you draw a card whose value is 4 given the card is black? iii What is the probability that you draw a card whose value is 4 given the card is red?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 13E
icon
Related questions
Topic Video
Question
Counting Cards
A set of 6 cards contains two black cards numbered 1 and 2 and four red cards numbered 1, 2, 3,
4. Each of the questions below refers to uniformly selecting one card from the set of 6.
i What is the probability that you draw a card whose value is 4?
1
ii What is the probability that you draw a card whose value is 4 given the card is black?
iii What is the probability that you draw a card whose value is 4 given the card is red?
iv Give an intuition for how the probability of choosing a four changes between parts i and ii. In
other words, why does the probability of choosing a four change this way when we require the
chosen card be black?
v Give an intuition for how the probability of choosing a four changes between parts i and iii. In
other words, why does the probability of choosing a four change this way when we require the
chosen card be red?
Transcribed Image Text:Counting Cards A set of 6 cards contains two black cards numbered 1 and 2 and four red cards numbered 1, 2, 3, 4. Each of the questions below refers to uniformly selecting one card from the set of 6. i What is the probability that you draw a card whose value is 4? 1 ii What is the probability that you draw a card whose value is 4 given the card is black? iii What is the probability that you draw a card whose value is 4 given the card is red? iv Give an intuition for how the probability of choosing a four changes between parts i and ii. In other words, why does the probability of choosing a four change this way when we require the chosen card be black? v Give an intuition for how the probability of choosing a four changes between parts i and iii. In other words, why does the probability of choosing a four change this way when we require the chosen card be red?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math 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
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning