Representation of the Sample Space

Example 4.1: Draw the Venn and Tree diagrams for the experiment of tossing a coin twice.

Venn Diagram Tree Diagram

Example 4.2:

Example 4.3: Find the probability of obtaining a head and the probability of obtaining a tail for one toss of a coin.

Solution:The two outcomes, head and tail, are equally likely outcomes, therefore,

Example 4.4: Find the probability of obtaining an even number in one roll of a die.

Solution:

Example 4.5:

Example 4.6:

Exercises 4.1:

(1)

(2)

(3)

Example 4.7:

Example 4.8:

Example 4.9:

Example 4.10:

Example 4.11:

Example 4.12:

Exercises 4.2:

(1)

(2)

(3)

Exercises 4.2 (continue):

(4)

Example 4.13:

Example 4.14:

Example 4.15:

Example 4.16:

Exercises 4.3:

(1)

(2)

Exercises 4.3 (continue):

(3)