# Mathematics

### Probability problems

Steps to solve pr0bability problems

- Identify events for which probability is to be determined asked in the question.
- Calculate total number of possible outcomes (items)
- Calculate probability of each event
- Add probability of each event (if it is required)

** **

Example

A box is filled with cubes of different colors. There are 40 White cubes, 24 Green, 12 Red, 24 Golden, and 20 Blue cubes. If you have to select a cube without looking into the box, what is the Probability that you will pick a White or a Blue cube?

Solution

Step 1 See that you have to determine probability of 2 events

(a) Picking a White cube

(b) Picking a Blue cube

Step 2 2 total numbers of cubes

Step 3 Find the probability of picking a White

Find the probability of picking a White

Step 4 Now add the two probabilities together

Thus probability that you will pick a White or a Blue cube is 1/2

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### Maths formula

- COMPOUND INTEREST

M = P( 1 + i )^{n}

M is the final amount including the principal.

P is the principal amount.

i is the rate of interest per year.

n is the number of years invested.

**Applying the Formula**

Let’s say that I have $1000.00 to invest for 3 years at rate of 5% compound interest.

M = 1000 (1 + 0.05)^{3} = $1157.62.

You can see that my $1000.00 is worth $1157.62.

# Area and Perimeter of a Triangle, Rectangle, Parallelogram, Trapezoid and Circle

Surface Area and Perimeter of a Triangle