General rule - probability rule, Mathematics

Assignment Help:

GENERAL RULE

A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or three) to arrive at the probability of events.

Example

 

Consider a bag containing 4 white and 5 black balls. A man draws 3 balls at random; let us see what is the probability that all three are black?

The total number of ways in which 3 balls can be drawn is 9C3and the number of ways of drawing 3 black balls is 5C3therefore the probability of drawing 3 black balls is given by

P(All three are black)

1608_general rule.png

Related Discussions:- General rule - probability rule

Statistics, A researcher is investigating the effectiveness of a new medica...

A researcher is investigating the effectiveness of a new medication for lowering blood pressure for individuals with systolic pressure greater than 140. For this population, systol

Divide by 1-digit numbers, which experession can be used to check the quoti...

which experession can be used to check the quotient 646 divided by 3

Hypothesis testing of the difference between proportions, Hypothesis Testin...

Hypothesis Testing Of The Difference Between Proportions Illustration Ken industrial producer have manufacture a perfume termed as "fianchetto." In order to test its popul

Optimization, Optimization : In this section we will learn optimization p...

Optimization : In this section we will learn optimization problems.  In optimization problems we will see for the largest value or the smallest value which a function can take.

Compute the break-even quantities, The revenue and cost functions for produ...

The revenue and cost functions for producing and selling quantity x for a certain production facility are given below. R(x) = 16x - x 2 C(x) = 20 + 4x a)  Determine the p

Factoring, how are polynomials be factored/?

how are polynomials be factored/?

Chapter problem temperature around the globe.., predict whether there is a ...

predict whether there is a relationship between the mean January temperatures of a city in North America and the city''s position west of the prime meridian.

Relation is not a function, The following relation is not a function.   ...

The following relation is not a function.                   {(6,10) ( -7, 3)  (0, 4)  (6, -4)} Solution Don't worry regarding where this relation came from.  It is only on

Initial conditions to find system of equations, Solve the subsequent IVP. ...

Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0  y′ (0)=-7  Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0

Find the z-score, For a population with a mean of μ=80 and a standard devia...

For a population with a mean of μ=80 and a standard deviation of o=12, find the z-score corresponding to each of the following samples. a.    M=83 for a sample of n=4 scores b.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd