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

Math 533, Project part A, part B, part C

Project part A, part B, part C

Example to understand means to count, Place ten pebbles (or any other such ...

Place ten pebbles (or any other such objects) in front of a child who can recite number names upto ten in the correct sequence. Ask him/her to count them aloud while touching the p

Series solutions to differential equations, Before searching at series solu...

Before searching at series solutions to a differential equation we will initially require to do a cursory review of power series. So, a power series is a series in the form, .

Which team should get the ball at the beginning, Why is tossing a coin cons...

Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a foot ball match? Ans: equally likely because they are mutual

Prove which divide these sides in the ratio 2: 1, In a right triangle ABC, ...

In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that  9AQ 2 = 9AC 2 +4BC 2

Find out the absolute extrema for function and interval, Find out the absol...

Find out the absolute extrema for the given function and interval.  g (t ) = 2t 3 + 3t 2 -12t + 4 on [-4, 2] Solution : All we actually need to do here is follow the pr

Prove that x2 + y2 - 8x - 10y +39 = 0, If the points (5, 4) and (x, y) are ...

If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans :   AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x

Solve cos( 4 ) = -1 trig function, Solve cos( 4 θ ) = -1 . Solution ...

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

Surface areas and volumes, a conical vessel of radius 6cm and height 8cm is...

a conical vessel of radius 6cm and height 8cm is completely filled with water.a sphere is lowered into the water and its size is such that when it touches the size it is immersed.w

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