Thinking Mathematically

1
Thinking Mathematically

• 11.5 Probability with the Fundamental Counting
  Principle, Permutations, and Combinations

2
Example

• Three men and three women line up at a checkout
  counter in a store.
• In how many ways can they line up?
• In how many ways can they line up if the first
  person in line is a woman, and then the line
  alternates by gender?
• Find the probability that the first person in
  line is a woman and the line alternates by gender.

3
Example

• Seven performers, A, B, C, D, E, F and G, are to
  appear in a fund raiser. The order of performance
  is determined by a random selection. Find the
  probability that
• D will perform first.
• E will perform sixth and B will perform last.

4
Example

• A political group consists of five Democrats and
  six Republicans. Four people are selected to
  attend a conference.
• In how many ways can four people be selected from
  this group of eleven?
• In how many ways can four Republicans be selected
  from the six Republicans?
• c. Find the probability that the selected group
  will consist of all Republicans.

5
Example Probability and Combinations

• A club consists of five men and seven women.
  Three members are selected at random to attend a
  conference. Find the probability that the
  selected group consists of
• three men.
• one man and two women.

HW page 591 1, 3, 5, 11