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

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Find out the area of the circle, 1. The number of accidents attended to by ...

1. The number of accidents attended to by 6 emergency ambulance stations during a 5 month period was: Station May June July Aug Sep      A        21     20     22    37    37

What is factorial, Q. What is Factorial? A factorial is a number with a...

Q. What is Factorial? A factorial is a number with a factorial sign, !, after it. 5! is read "five factorial." 3! is read "three factorial." The factorial of a natural

Compound interest, you have RM5O,OOO to invest,and two fund that you''d li...

you have RM5O,OOO to invest,and two fund that you''d like to invest in.The You-Risk-It Fund yields 14% interest.The Extra-Dull Fund yields 6% interest.Besause of college financial-

Demerits and merit-the geometric mean , The geometric mean Merits ...

The geometric mean Merits i.  This makes use of all the values described except while x = 0 or negative ii.   This is the best measure for industrial increase rates

Fractions, How do you add 7/9 + 6/8 + 3/4

How do you add 7/9 + 6/8 + 3/4

Probability exercise, 1. A psychologist developed a test designed to help p...

1. A psychologist developed a test designed to help predict whether production-line workers in a large industry will perform satisfactorily. A test was administered to all new empl

Expected opportunity loss or eol method, Expected opportunity loss or EOL m...

Expected opportunity loss or EOL method EOL method is aimed at minimizing the expected opportunity loss or OEL. The decision maker chooses the strategy along with the minimum e

What is the formula to know total area square shaped quilt, Cathy is formin...

Cathy is forming a quilt out of fabric panels that are 6 in through 6 in. She needs to know the total area of her square-shaped quilt. Which formula will she use? The area of a

Probability, a die was rooled 500 times and number of times 4 came up was n...

a die was rooled 500 times and number of times 4 came up was noted if the imperical probability calculated from this information 7_10

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