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

Logarithms, find any integer from 1-128 on a logarithmic scale

find any integer from 1-128 on a logarithmic scale

Exercise of concrete operational stage, Which of the following statements d...

Which of the following statements do you think are true about children? Indicate with 'T' for true and for false. Give reasons for your choice. a) Most primary school children a

Real constant and difference equation, Derive for the filter from z=a and p...

Derive for the filter from z=a and poles at z=b andz=c, where a, b, c are the real constants the corresponding difference equation. For what values of parameters a, b, and c the fi

Invariant lines under transformation, What lines are invariant under the tr...

What lines are invariant under the transformation [(103)(01-4)(001)]? I do not know where to even begin to solve this. Please help!!

Wholenumberriddles, I am less than 100 the sum of my digits is 4 half of me...

I am less than 100 the sum of my digits is 4 half of me is an odd number

Describe the laws of sines, Q. Describe the Laws of Sines? Ans. Up...

Q. Describe the Laws of Sines? Ans. Up to now we have dealt exclusively with right triangles.  The Law of Sines and the Law of Cosines are used to solve  oblique triangles

Evaluate the linear equation, Evaluate the linear equation: Solve the ...

Evaluate the linear equation: Solve the equation ax - b = c for x in terms of a, b, and c. Solution: Step 1. Using Axiom 1, add b to both sides of the equation. a

4 accounting majors, 4 accounting majors, 2 economics majors and 3 marketin...

4 accounting majors, 2 economics majors and 3 marketing majors have an interview for5 different positions with a large company. Find the number of dfferent ways that 5 of these c

Factor Fiction, Ok this is true or false wit a definition. The GCF of a pai...

Ok this is true or false wit a definition. The GCF of a pair of numbers can never be equal to one of the numbers.

Show that the angles subtended at the centre , A circle touches the sides o...

A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.

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