Question

Why is it important to be able to be able to count all of the ways something can occur?

Answer 1

It is very important to count all the ways something can occur

Because the exact probability distribution could be found only after consider the all the favourable ways that can occur

An it is very important Understand how to relate counting of outcomes to probability

We can Calculate the number of outcomes of a random experiment using permutations and combinations

We have to also know how sampling with or without replacement affects a counting problem

When solving more complicated probability problems, we may need to consider series of random experiments or experiments that involve several different aspects,

such as drawing two cards from a deck or rolling several dice. In such cases, the ability to calculate relative frequencies (and thus probabilities) requires counting the number of possible outcomes of the experiment.

Although counting the number of possible outcomes for simple random experiments, such as the flip of a coin (heads or tails), may be quite simple, counting the number of possible outcomes for the ordered selection of three cards from a standard deck may not be.

We will show you how to handle these more complicated counting problems, thereby expanding your ability to solve a range of statistics problems.