Probability Method

Let us see the introduction about probability method.  Probability is used to measures the degree of uncertainty and certainty of an event. The probability theories are used to develop the study of games of chance like as roulette and cards. Probability method is a likelihood that an event will happen.

Probability Methods:

Experiment:

Experiment of an operation will produce some well -defined outcomes.

Random experiment:

The random experiment, do not produce the same outcome in a trail, when repeated under identical condition is one of the several possible outcomes.

Sample space:

In probability sample space of a random experiment is used to the set of all possible outcomes and it is denoted by S.

Event:

In probability an event is the sample space of every subset.

Simple event:

Simple or an elementary event of an event which can contain only a single element of the sample space.

Compound event:

Composite or mixed event of an event which is not a simple.

Let us see the example problems about probability method as given below.

Examples:

1. What is the sample space for toss of a coin?

Solution:

In toss a coin, there are two possible outcomes, namely head (H) and tail (T).

Hence, the sample space in this experiment is given by

S = {H, T}

2. List the sample space in throwing a die.

Solution:

When we throw a die, it can result in any of the six numbers, namely, 1, 2, 3, 4, 5, 6.

Sample space is S = {1, 2, 3, 4, 5, 6}.

3. When two dice are rolled. A is the event that the sum of the numbers shown on the two dice is 4. What is the sample space?

Solution:

When two dice are rolled, we have n(S) = (6 * 6) = 36.

Now, A = {(1, 4)(2, 3)(4, 1)(3, 2)}.

These are the example problems for probability method.