simple probability problem on colors

Probability, or chance, 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, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems.

The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia, but exact mathematical descriptions of use in those problems only arose much later.

Here is a simple probability problems from 4th grade math algebra word problems with solution


Example :-

We have find the following probabilities of
different colors in this picture.

P(red)=1/3

p(green)=4/9

p(white)=0

p(green or yellow)=2/3

p(not yellow)=7/9

p(blue)=0

a probability of an event A is represented by a real number in the range from 0 to 1 and written as P(A), p(A) or Pr(A)^[6]. An impossible event has a probability formula of 0, and a certain event has a probability of 1. However, the converses are not always true: probability 0 events are not always impossible, nor probability 1 events certain. The rather subtle distinction between "certain" and "probability 1" is treated at greater length in the article on "almost surely