In a lottery there are a 100 tickets. Out of these 10 contain the prize of a playstation where as 90 are empty. Satyam buys a ticket and checks if he has won the prize. If he has not, he buys another ticket. He goes on like this until he wins the prize. Find the probability that Satyam buys a total of 3 tickets.
We can express the probability that two events both occur symbolically using the general multiplication rule, and we can interpret probability statements that are expressed symbolically.
This formula says that we can multiply the probabilities of two events, but we need to take the first event into account when considering the probability of the second event.
Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 88 % of the time. What is the probability of Chris Paul making all of his next 9 free throw attempts?
One probability rule that's very useful in genetics is the product rule, which states that the probability of two (or more) independent events occurring together can be calculated by multiplying the individual probabilities of the events.
Probability and combinatorics are the conceptual framework on which the world of statistics is built. Besides this important role, they are fascinating, fun, and often surprising!
