Basic Probability Calculations

Introduction to basic probability calculations:
The basic probability calculations are very helpful to the students. Calculations are the best tool to study what you want without disturbing the time. Calculation can be more interesting and interact than books and lecturing. Probability is result of examine Probability is number of possible actions divide by total quantity of proceedings. If the event arises it represents like one, or else not occurs it must symbolize zero. Now we will see basic probability calculations.


Example problems for basic probability calculations:


Example 1:- Using basic probability calculations

In school there are 100 students available. In those students, there are 50 students are science group, 25 students are maths group and 25 students are the English group. Find the probability if,

i) Science group students are leaving first from the school.

ii) English group students are leaving second from the school.

Solution:

Given,

Total students n(S)=100

Science group students n(A)=50

Maths group students n(B)=25

English group students n(C)=25

i) Let P(A) is the event of the science group students are leaving first.

So the P(A)=`(n(A))/(n(S))`

=`50/100`

=1/2

ii)Let P(B) is the event of the English group students are leaving first.

P(B)=`(n(B))/(n(S))`

=`25/100`

=1/4.

Example 2:- Using basic probability calculations

The bag has the 60 kerchiefs. In those kerchiefs, there are 15 is the blue color, 20 is the yellow color and 25 is the white color. If John select the white color kerchief means solve the probability?

Solution:

First list the given information,

Total kerchiefs n(S)=60

Blue colour kerchiefs n(A)= 15

Yellow colour kerchiefs n(B)= 20

White colour kerchiefs n(C) = 25

Assume P(E) is the probability for john select the white colour kerchief.

So P(E)=`(n(C ))/(n(S))`

=`25/60`

=`5/12` .

In the above way we can solve the problems.

Having problem with Uniform Probability Distribution keep reading my upcoming posts, i will try to help you.

Example 3:- Using basic probability calculations


Two coins are spinning. What is the probability for if two head are receiving?

Answer

Two coins flipped means the feasible outcomes are {(H,T),(H,H),(T,H),(T,T)}

So the total numbers of outcomes are 4.

We get the two head possibility is 1.

Probability = 1/4.

Example 4:- Using basic probability calculations

From the following scores are 41,13,46,27,79,25,15. We can find the probability for above 25 scores? 2.

Solution:

Probability for finding above 25 scores:

Above 25 scores=41, 46, 27, 79.

In the given scores the above 35scores probability values are (41, 46, 27, 79)

Probability for above 25 scores=41+46+27+79

=193.

Total scores values = (41+13+46+27+79+25+15) =246.

Probability=above 25/Total given scores.

Total scores=246

Probability for above 25 scores=`193/246` .

=`193/246` .

Formulas for finding probabilities for below 25 scores are,

Solve Basic Probability Problems

Introduction:

Probability is one of the important topic in intermediate and college mathematics. Probability plays an important role in the day to day life. It is way of expressing that an event will occur or has occurred. It is also defined as the possible outcomes to the total number of events.

A probability of an event A occurred is represented by a real number in the range from 0 to 1 and written as P(A), p(A) or Pr(A). The probability of impossible event is given as 0, and a certain event has a probability of 1. However, the conversations are not always true: probability 0 events are not always impossible, nor probability 1 events certain. Basic proabbility problems are easy to solve. When the concept of basic probability is understood very well, then it is easy to solve those problems.

Examples problems for basic probability:

Basic probability Problem 1:

What is the probability of rolling a 3 on a dice?

Solution:

Here the number of possible out comes on the event is 6
The number of outcomes in rolling a dice is 3
Solve for the probability,

number of outcomes in Event
Prob(E) = --------------------------------------------------------------------
Total number of possible outcomes of the event

Prob(E) = 3/6

Prob(E) = 1/2

Basic probability problem 2:

What is the probability of selecting card of hearts from a deck of 52 cards?

Solution:

The total number of cards in a deck is 52
The number of cards of hearts fro a deck of cards is 13
Solve for the probability,

number of outcomes in Event
Prob(E) = ----------------------------------------------------------------------
Total number of possible outcomes of the event

Prob(E) = 13/52

Prob(E) = 1/4

Basic probability problem 3:

What is the probability of selecting number 9 from a deck of 52 cards?

Solution:

The total number of cards in a deck is 52
The number 9 from a deck of cards is 4
Solve for the probability,

number of outcomes in Event
Prob(E) = ----------------------------------------------------------------------
Total number of possible outcomes of the event

Prob(E) = 4/52

Prob(E) = 1/13

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Basic probability problems practice:

What is the probability of rolling a 3 on a dice?

Answer:

The answer is 6/6 = 1

2) What is the probability of selecting two balls from a basket containing 20 balls?

Answer:

The answer is 2/20 = 1/10.