Algebra is one of the ancient topics in mathematics. The rule of operations and relations which is dealing is known as Algebra. Ancient algebra is very much differing from the modern algebra.
Probability is a bit hard and it has been defined in different manners. Probability can be defined either in objective or subjective manner. A way of expressing facts or belief that an event will occur or occurred is known as probability. Algebra in probability deals with solving equation and finding the values for the events. In solving algebra probability problem step by step explanation is important.
Problem 1:
A spinner is numbewhite1-60. If he spins one time, what is the probability that he will get: a) a multiple of 6? b) An odd number between 45 and 60?
Solution:
Multiples of 6 is
1 * 6 = 6
2 * 6 = 12
3 * 6 = 18
4 * 6 = 24
5 * 6 = 30
6 * 6 = 36
7 * 6 = 42
8 * 6 = 48
9 * 6 = 54
10 * 6 = 60
There are 10 multiples of 6 so taking 10 and divide it by 60
P (multiple of 6) = 10 / 60
On solving this problem we get,
P (multiple of 6) = 1/6
Probability = 0.17
b) An odd number between 45 and 60
The odd number between 45 and 60 are 47,49,51,53,55,57,59.
P (Odd number b/w 45 and 60) = 7/60
On solving this problem we get,
P (Odd number b/w 45 and 60) = 0.12
Algebra is widely used in day to day activities watch out for my forthcoming posts on Angle Definition Geometry and cbse syllabus for class 9th 2011. I am sure they will be helpful.
Problem 2:
A jar contains 3 white, 8 orange and 7 brown marbles. If one marble is chosen randomly from the jar, what is the probability of i) choosing a white marble ii) orange marble iii) A brown marble.
Solution:
Total number of marble in the jar = 3 +8 +7 = 18 marble
i) Choosing a white marble = 3/18
On solving this we get,
Choosing a white marble = 0.17
ii) Choosing a orange marble = 8/18
On solving this we get,
Choosing a orange marble = 0.44
iii) Choosing a brown marble = 7/18
On solving this we get,
Probability of orange marble = 0.39
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