Classical probability, Mathematics

Assignment Help:

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.

 


Related Discussions:- Classical probability

Prove that the height of the cloud , HE IGHTS AND DISTANCES If the ...

HE IGHTS AND DISTANCES If the angle of elevation of cloud from a point 'h' meters above a lake is α and the angle of depression of its reflection in the lake is  β , prove

Determine the volume of the object, A rectangular container is 15 cm wide a...

A rectangular container is 15 cm wide and 5 cm long, and contains water to a depth of 8 cm. An object is placed in the water and the water rises 2.3 cm. Determine the volume of the

Find ad, A circle is inscribed in a triangle ABC having sides 8cm, 10cm and...

A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.

Find a maximum flow and a minimum cut, Use the maximum flow algorithm to fi...

Use the maximum flow algorithm to find a maximum flow and a minimum cut in the given network, where the capacities of arc CF, EC , DE and BD are w = 13, x = 7, y =1, a

Decision-making under conditions of certainty, Decision-Making Under Condit...

Decision-Making Under Conditions of Certainty Conditions of certainty tend to be rare, especially when significant decisions are involved. Under conditions of certainty, decis

Ratio and proportion, the sides of triangleare inthe ratio 2;3;4 if the per...

the sides of triangleare inthe ratio 2;3;4 if the perimeter is 72 cm. find its side.

Operations research, Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2, Subject to the constraints: X1+ X2 = 4 X1+ X2 = 2 X1, X2 = 0

Evaluate the following exponentials limit, Evaluate following limits. ...

Evaluate following limits. Solution: Let's begin this one off in the similar manner as the first part. Let's take the limit of each piece. This time note that since our l

Simple equations, three times the first of the three consecutive odd intege...

three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.

If 967.234 is divided by 10 how will the decimal point move, If 967.234 is ...

If 967.234 is divided by 10, how will the decimal point move? It will move one place to the left. While dividing by multiples of 10, the decimal point is moved to the left acco

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