Probability Proportion

Probability is an opportunity. It is used to count calculate the possible outcomes in one event.The two ratios are identical statement name is called the proportion. We can written the proportion in two ways. The names are division method and ratio method. Here we will see about the proportion and probability definition with examples.


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Probability

Probability used in science, mathematics, gambling, finance etc.Probability has the more topics. Here list out the some of the topic name. The names are as follows,

Joint probability distribution
Discrete probability distributions
Continuous probability distributions
Random variable

Probability distributions
Conditional probability
Multivariate distributions

Example

1)In a hostel 150 students are available. In those students 50 students are first year. 30 students are second year and 70 students are third year. Find the probability if the first year students go to college at first.

Solution

Take S is the sample space and A is the event of the first year students go to the college.

n(S)=150

n(A)=50

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

= 50/150

= 1/3

2)The box contains 10 black sticks and 20 white sticks. Hari chooses a stick at random from the box and replace put back in the box. He mixes the sticks in the box and then chooses another stick at random from the box. Then find the following probability.

a)Hari choose the black sticks from the box

b)Hari choose the white sticks from the box

Solution

a) Hari select the 3 black sticks from the box.

The total sticks n(S) = 30

Total black sticks n (A) = 10

So the probability is P(A) = n(A)/n(S)

= 10/30

= 1/3

b) Rani choose the 2 white spoons from the bowl

The total sticks n(S) = 30

Total white sticks n (B) = 20

So the probability is P(B) = n(B)/n(S)

= 20/30

=2/3

Proportion

The proportion  can written in two ways.

First way

a/b=(c)/(d)

Second way

a:b=c:d

The cross products are identical when two ratios are equal.

Between, if you have problem on these topics Definite Integrals Examples, please browse expert math related websites for more help on Hypothesis Testing Formula.

Example

a:b=c:d, a x d=b x c

(3)/(5) =(21)/(35)