General rule - probability rule, Mathematics

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
Posted Date: 9/14/2012 4:31:32 AM | Location : United States







Related Discussions:- General rule - probability rule, Assignment Help, Ask Question on General rule - probability rule, Get Answer, Expert's Help, General rule - probability rule Discussions

Write discussion on General rule - probability rule
Your posts are moderated
Related Questions
Q. Describe Standard Normal Distribution? Ans. The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a sta

Non Linear Relationships If the correlation coefficient and the scatter diagram do not indicate linear relationship, then the relationship may be nonlinear. Two such relations

What is the smallest possible number in which can be created along with four decimal places using the numbers 3, 5, 6, and 8? Place the smallest number in the largest place val

There isn't actually a whole lot to this section this is mainly here thus we can get several basic concepts and definitions out of the way.  Most of the concepts and definitions in

Two cars begin 500 miles apart.  Car A is into the west of Car B and begin driving to the east (that means towards Car B) at 35 mph & at the similar time Car B begin driving south

We require to check the derivative thus let's use v = 60. Plugging it in (2) provides the slope of the tangent line as -1.96, or negative. Thus, for all values of v > 50 we will ha

Graph y = tan ( x ). Solution In the case of tangent we need to be careful while plugging x's in since tangent doesn't present wherever cosine is zero (remember that tan x


Lucas purchased his motorcycle for $5,875.98 and sold it for $7,777.77. What was his profit? To ?nd out the pro?t, you must subtract what Lucas paid for the motorcycle from the

Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal porti