Introduction to study probability and statistics:
Probability is a way of expressing a knowledge or belief that the event will occur. In mathematics the concept has given a exact meaning in study of probability and stastics theory, that is used extensively in such areas of study in mathematics, studying statistics,finance,gambling, science, and philosophy to draw conclusion about the potential events and the underlying mechanics of the complex systems.
Statistics is the science of making some effective use of numerical data relating to all groups of individuals. It deals with all aspects of the analysis and interpretation of such data, but also the planning of the collection of data, in terms of design of the studying surveys and experiments.
Bowl 1contains 6 red chips and 4 blue chips. Five of these 10 chips are selected at random and without replacement and put in bowl 2 which was originally empty. One chip is then drawn at random from bowl 2 Given that this chip is blue, find the conditional probability that 2 red chips and 3 blue chips are transferred from bowl 1to bowl 2.
P(3 B taken from bowl 1 and B chip drawn from bowl 2)=(6c2*4c3)/10c5*3/5
P(B chip drawn from bowl 2)= (6c4*4c1/10c5)1/5+(6c3*4c2)/10c5*2/5+