Showing posts with label math probability. Show all posts
Showing posts with label math probability. Show all posts

Sunday, February 24, 2013

Probability Practice

Introduction:
Probability is derived from the study of games of chance.

Examples for Learning probability practice:

Tossing a coin
Throw a dice
Spinning a roulette wheel


Learning probability practice is one of the divisions of mathematics. Learning probability practice considers the number of success and total number of occurrences. Learning probability practice is expressed by the ratio between the number of success and total possibilities.


PROBABILITY LEARNING:


Learning of probability formula:

If an experiment can produced N mutually exclusive and equally likely outcomes out of which n outcomes are favorable to the occurrence of event 'A' then the probability of 'A' is denoted by P(A) and is defined as the ratio n/N.(Source:wikipedia)

Thus the probability is given by

P (A) = number of success / number of possible outcomes

P (A) = n/N

Probability that event A occurs P (A) = n (A) / n(S)

Where,
n (A) - number of success occurs in A
n (S) - number of possible outcomes

Probability algorithm can be generating the original population members by example probability distribution.

Understanding Define Ray is always challenging for me but thanks to all math help websites to help me out.

Practice Sum for Learning Probability


Example 1:

An electronic showroom has 30 objects which are 20 fridge, 5 television and 3 fans and 2 FM. If every electronic object is likely to sell, find the probability for television and FM.

Solution of example 1:

Probability = (number of successive event) / (total number of possible events)

P (A) = n(S) / n (A)

(1) Television:

n(S) = number of successive event = 5

n(A) = total number of possible events) = 30

P (A) = n(S) / n (A)

=5/30=1/6=0.166

(2) FM:

n(S) = number of successive event = 2

n(A) = total number of possible events) = 30

P (A) = n(S) / n (A)

P (A) = 2 / 30 =1 / 15 = 0.06

Example 2:

A book shop has 150 college books, 200 school books and 250 note books. If every book is to sell, find the probability for school books.

Solution of example 2:

Probability = (number of successive event) / (total number of possible events)

P (A) = n(S) / n (A)

n(S) = number of successive event = 200

n(A) = total number of possible events) = 150+200+250=600

P (A) = n(S) / n (A)

=200/600=2/6 = 1 / 3 = 0.33

Friday, February 8, 2013

grade 5 math probability

Introduction to grade 5 math probability:

Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory that is used extensively in such areas of study as mathematics, statistics, finance, gambling, and science. In this article we shall discuss about grade 5 probability problems.(Source: wikipedia) I like to share this Probability of Independent Events with you all through my article.


Grade 5 math probability example problems

Here we are going to discuss grade 5 probability problems with detailed solutions.

Problem:

An unbiased die is rolled once at a time find the probability of shown the number 6 in dice.

Solution:

A dice is rolled once at a time, the possible chance of sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, the sample space n(S)=6..

Consider E1 = event of rolling a dice getting the number 6

E1= {6} and, therefore, n (E1) =1.

Therefore probability (getting number 6) = P (E1) = n (E1) / n(S) = `1 / 6`

Example:

An unbiased die is rolled once at a time. Find the probability of getting a number greater than 2.

Solution:

A dice is rolled once at a time, the possible chance of sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, the sample space n(S)=6..

Let E1 = event of rolling a dice getting number greater than 2 Then,

E1= {3, 4, 5, 6} and, therefore, n (E1) =4.

Therefore Probability of getting a number rolling dice greater than 2 = P (E1) = n(E1) / n(S) = `4 / 6` = `2 / 3` .

Example:

An unbiased die is rolled once at a time. Find the probability of getting a number less than 3.

Solution:

A dice is rolled once at a time, the possible chance of sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, the sample space n(S)=6..

Let E1 = event of rolling a dice getting number less than 3 Then,

E1= {2 , 1} and, therefore, n (E1) =2.

Therefore Probability of getting a number rolling dice less than 3 = P (E1) = n(E1) / n(S) = `2 / 6` = `1 / 3` .

Understanding what is the probability formula is always challenging for me but thanks to all math help websites to help me out.

Grade 5 math probability example problems


Problem:

An unbiased die is rolled once at a time find the probability of shown the number 1 in dice.

Answer:

`1/6.`

Problem:

An unbiased die is rolled once at a time. Find the probability of getting a number greater than 4.

Answer:

`1/3`