Probability Problem

Study Probability:

It is helpful for determining the number of incidence of event in the possible outcomes. Probability lies between 0 and 1.

Types of probability:

Single event Probability
Multiple events Probability
Study Single event Probability:


Example: A coin tossed; probability for getting head is a single event

Study Multiple events Probability:

It is helpful for the determining the number of occurrence in multiple event trail.

Example:  A die is tossed twice; probability of getting odd numbers is a multiple event

Let us solve some sample problems in probability.


Study Probability Example Problem 1:


If a coin is tossed.  Find the probability of getting a head.

Solution for the problem:

In the experiment of tossing a coin once, the number of possible outcomes is two — Head (H) and Tail (T).

Let E be the event ‘getting a head’.

The number of outcomes favorable to E, (i.e., of getting a head) is 1

Therefore,

P (E) = P (head) = Number of outcomes favorable to E / Number of all possible outcomes = `(1)/(2)`

Please express your views of this topic Binomial Probability Formula by commenting on blog.

Study Probability Example Problem 2:


A bag contains a Black ball, a Brown ball and a Purple ball, all the balls being of the same size. David takes out a ball from the bag without looking into it. What is the probability that she takes out the

Purple ball?
Black ball?
Brown ball?
Solution for the problem:

David takes out a ball from the bag without looking into it. So, it is equally likely that she takes out any one of them.

Let Y be the event ‘the ball taken out is Purple’, B be the event ‘the ball taken out is Brown’, and R be the event ‘the ball taken out is Black’.

Now, the number of possible outcomes = 3.

The number of outcomes favorable to the event Y = 1

P(Y) = `(1)/(3)` ,   P(R) = `(1)/(3)`     P (B) = `(1)/(3)`