Mathematical numbers are studied by algebra. Algebra is also used to learn the polynomials and the equations etc. Probability is a method of state knowledge or principle that an occurrence will happen. In mathematics the idea has been given a correct sense in probability theory, that is used widely in such areas of learn as mathematics, finance, statistics etc. Here we will see the examples and solved with the help of algebra probability.
1) What is the multiplication of following two numbers with the help of algebra? 115*118
Solution
115*118 = (100+15)*(100+18)
= (100)2+(100*18)+(15*100)+(15*18)
=10000+1800+1500+270
=13570.
2) 18x+12y+12x+8a. Simplify the given equation in algebra.
Solution
The given equation is 18x+12y+12x+8a
There are two related groups are available. So connect the groups.
The new equation is,
(18x+12x)+12y+8a
Add the numbers inside the bracket. We get 30x+12y+8a.
Assemble the numbers and we get the correct format.
=8a+30x+12y.
There are 45 things are available in a shop. In those things, 16 are the books, 12 are the bags and 17 are the caps. What is the probability for the following outcomes?
i) Select the books
ii) Select the bags
iii) Select the caps.
Solution:
Total number of things n(S) =45
Number of books n (A) =16
Number of bags n (B) =12
Number of caps n(C) =17
i) Assume P(A) is the probability for select the books.
P(A)=`(n(A))/(n(S))`
=`(16)/(45)` .
ii) Assume P(B) is the probability for select the bags.
P(B) =`(n(B))/(n(S))`
= `(12)/(45)`
=`(4)/(15)` .
iii) Assume P(C) is the probability for select the caps.
P(C)=`(n(C))/(n(S))`
=`(17)/(45)` .
Practice Problems
Practice problem 1
What is the product of the following numbers in algebra ? 111*128
Answer:
101*108=14208.
Practice problem 2
8x+14y+12a+12y. Simplify the terms with the help of algebra.
Answer:
12a+8x+26y.
Practice problem 3
Jenifer has the 6 papers, Stephen has 7 papers. What is the probability for select the Jenifer’s papers.
Answer:
Probability for select the Jenifer’s papers=6/13.
These algebra and probability problems are helping to study these concepts
Example Problems for Algebra
1) What is the multiplication of following two numbers with the help of algebra? 115*118
Solution
115*118 = (100+15)*(100+18)
= (100)2+(100*18)+(15*100)+(15*18)
=10000+1800+1500+270
=13570.
2) 18x+12y+12x+8a. Simplify the given equation in algebra.
Solution
The given equation is 18x+12y+12x+8a
There are two related groups are available. So connect the groups.
The new equation is,
(18x+12x)+12y+8a
Add the numbers inside the bracket. We get 30x+12y+8a.
Assemble the numbers and we get the correct format.
=8a+30x+12y.
Example for Probability
There are 45 things are available in a shop. In those things, 16 are the books, 12 are the bags and 17 are the caps. What is the probability for the following outcomes?
i) Select the books
ii) Select the bags
iii) Select the caps.
Solution:
Total number of things n(S) =45
Number of books n (A) =16
Number of bags n (B) =12
Number of caps n(C) =17
i) Assume P(A) is the probability for select the books.
P(A)=`(n(A))/(n(S))`
=`(16)/(45)` .
ii) Assume P(B) is the probability for select the bags.
P(B) =`(n(B))/(n(S))`
= `(12)/(45)`
=`(4)/(15)` .
iii) Assume P(C) is the probability for select the caps.
P(C)=`(n(C))/(n(S))`
=`(17)/(45)` .
Practice Problems
Practice problem 1
What is the product of the following numbers in algebra ? 111*128
Answer:
101*108=14208.
Practice problem 2
8x+14y+12a+12y. Simplify the terms with the help of algebra.
Answer:
12a+8x+26y.
Practice problem 3
Jenifer has the 6 papers, Stephen has 7 papers. What is the probability for select the Jenifer’s papers.
Answer:
Probability for select the Jenifer’s papers=6/13.
These algebra and probability problems are helping to study these concepts
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