2.6 Sample Spaces

A sample space is the set of all possible outcomes relevant to the context of the problem.

For the experiment of tossing a coin the set of outcomes is {Heads, Tails}

The number of elements in this sample space (or n(S)) is 2.

Last class we discussed the number of elements in the sample space of rolling two dice as 36. (6 outcomes on the first die, 6 on the second).

There are various ways to organize your thoughts in counting outcomes such as a list, a tree diagram, or a 2D grid.

p. 463# 1-3

Ex 1 A ticket is randomly selected from a basket containing 3 green, 4 yellow and 5 blue tickets. Determine the probability of getting:

(a) a green ticket (b) a green or yellow ticket (c) a non-yellow ticket

**If E is an event, then E' is the complementary event of E. This means that P(E)+P(E')=1.

p. 465#1-9

p. 468#1-3 **read example 9 on p. 468