Classical probability, Mathematics

Classical Probability

Consider the experiment of tossing a single coin. Two outcomes are possible, viz. obtaining a head or obtaining a tail. The probability that it is a tail is 1/2, i.e. 0.5. This probability is determined without an experiment based on the principle that each of the possible outcomes must be equally likely. In reality it may not be that, for every two tosses there will be one tail. But if the number of tosses is increased, however, the actual results will approximate more closely to the one-in-two pattern. Thus, in 2000 tosses there may be 998 tails. If the probability of a tail being tossed is one in two, it does not follow that, in order to maintain the probability ratio, the next toss will produce a head.

As per the Classical approach, the probability is the ratio of the number of equally likely possible outcomes favorable for an event to the total number of possible outcomes. If there are m possible outcomes that favor the occurrence of event A and there are n total possible outcomes, then the probability of the occurrence of event A is the ratio of m to n (m/n). The possible outcomes favorable for an event and total number of outcomes must be known without performing experiments.

 

Posted Date: 9/14/2012 4:13:20 AM | Location : United States







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

Write discussion on Classical probability
Your posts are moderated
Related Questions
1 half plus 1 half


Previously discussed how important it is to expose children to a variety of verbal problems involving the concept that they are trying to learn. Children attach meaning to the abst

Solve discrete harmonic mapping of a given surface patch (suppose the surface is genus-0 and with one boundary) 1. Map the boundary loop onto a unit rectangle using chord-length

Define a Hamilton path. Determine if the following graph has a Hamilton circuit. Ans: A path is known as a Hamiltonian path if it consists of every vertex of the graph e

a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person


formula for non negative solutions integral

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems