The Mastermind by jnthnhys

The difference between Combinations and Permutations

Combination (224365) by Cellach

Probability and Statistics

If 8 books are arranged on a shelf, what is the probability that 3 particular books are together?

HOMEWORK

(a) In how many ways can the letters of the word GEOMETRY be arranged so that vowels and consonants alternate?

(b) In how many of these ways is Y the last letter?

(c) If one of these "words" is randomly selected, what is the probability that Y is the last letter?

HOMEWORK

Suppose that, when you go home from school, you like to take as great a variety of routes as possible, and that you are equally likely to take any possible route. You will walk only east or south.

How many ways can you go from the school to home?

What is the probability that you will walk past the post office on your way home?

HOMEWORK

Suppose that, when you go home from school, you like to take as great a variety of routes as possible, and that you are equally likely to take any possible route. You will walk only east or south.

How many ways can you go from the school to home?

What is the probability that you will walk past the post office on your way home?

HOMEWORK

Design an experiment using coins to simulate a 10 question true/false test. What is the experimental probability of scoring exactly 70% on the test if you guess each answer?

Let's think about this using what we've just learned ...

Solve for the exact theoretical probability of getting "at least 7" out of ten on this test.

Combinations (the "Choose" Formula)

How many different 5 person teams can be made from 10 people?

There are 15 people on the student council. How many 3 person subcommittees can be made on the council?

A combination is arrangement of objects where order does not matter.

n is the number of objects available to be arrangedr is the number of objects that are being arranged.

Examples:

On the calculator ... Press: [MATH]

[<] (Prb) [3] (nCr)

There are 10 football teams in a certain conference. How many games must be played if each team is to play every other team just once?

Design an experiment using coins to simulate a 10 question true/false test. What is the experimental probability of scoring at least 70% on the test if you guess each answer?

Let's think about this again using what we've just learned ...

Solve for the exact theoretical probability of getting "at least 7" out of ten on this test.

HOMEWORK

(a) How many numbers of 5 different digits each can be formed from the digits 0, 1, 2, 3, 4, 5, 6?

(b) If one of these numbers is randomly selected, what is the probability it is even?

(c) What is the probability it is divisible by 5?

HOMEWORK

Seven people reach a fork in a road. In how many ways can they continue their walk so that 4 go one way and 3 the other?

HOMEWORK