Lesson: Challenging Problem Solving - 27t06

Dependent Probability

[Page 27 of 37]

Basic probability, the topic of the previous screen, is also known as independent probability - the chance of selecting a marble was not dependent on any previous outcome. Only the relative numbers of marbles in the box at the moment of selection determined the probability of choosing a certain marble.

Dependent probability, on the other hand, refers to situations in which the chance of an outcome occurring is influenced by a previous outcome. In such instances, the probability of both outcomes occurring is:

Probability of Outcome 1 Probability of Outcome 2 = Probability of Outcomes 1 and 2

The following example will illustrate:

A box contains 3 blue marbles, 2 green marbles, and 4 red marbles. If one marble is selected at random, and a second marble is selected without replacing the first, what is the probability that both marbles chosen are blue?
What is the probability that a blue marble will be chosen on the first draw? Enter your response into the text box below and then click Continue.

Probability of blue on 1st draw:

_____
What is the probability that a blue marble will be chosen on the second draw if a blue marble was chosen on the first draw? Enter your response into the text box below and then click Continue.

Probability of blue on 2nd draw:

_____
Now compute the probability that BOTH the first and second marbles drawn will be blue.
Probability of choosing two blue marbles on 1st and 2nd draws:
_____
Now use our sample question to determine the probability for each of the two scenarios that follow. For each one, enter your response into the textbox and then click Continue.
What is the probability that both marbles chosen are green?
_____
Back Next

Next to display next topic in the chapter.

Video Lessons and 10 Fully Explained Grand Tests

Large number of solved practice MCQ with explanations. Video Lessons and 10 Fully explained Grand/Full Tests.

Quantitative Aptitude Reasoning English General Knowledge Picture Patterns
Current Menu

Test Prep New

Practice MCQs

Admission Tests

Section Lessons

US Degrees

Pak Universities

Employment

ISSB Selection

ISSB Procedures

Test Preparation

Non-Verbal Tests

Thematic Tests

GTO Tasks

Pak Air Force

Pak Army

Pak Navy

Schools & Colleges

Expressions

Essays

Education News

Scholarships & Study

More for You
MCQ with question Explanations Scholarships and Financial Aid

Problem Solving

Lessons with practice question on math section of the test

Data Sufficiency

Easily crack the most logical section of the GMAT

SAT-Subject Chemistry

Lessons and practice questions of SAT-II Chemistry

All in this Category

You may be interested in

Colleges in cities of Sindh

Comprehensive lists of colleges in ...

Colleges in Sukkur

Find a comprehensive list of major ...

Social Articles

A list of Articles on Social Issues ...

LUMS: NOP Financial Aid Program

Find all about LUMS NOP Financial A ...

GRE: Graduate Record Examination

Know what is GRE - Geeneral test an ...

ISSB Projective Personality Tests

Learn all about ISSB Projective Per ...

NWFPUET Engineering

NWFP University of Engineering and ...

DMCD - BDS

De Montmorency College of Dentistry ...

About us

EntryTest.com is a test preparation service for students seeking successful career.

About Disclaimer

Quick Test Prep

NUST NET IBA Karachi SAT LUMS LCAT LSE

 

NTS GAT NTS NAT GMAT GRE ACT

Study Abroad

Education Abroad Business Schools MS in USA