438 Probability and Predictions
- UNIFORMS The University of
Oregon’s football team has many
different uniforms. The coach can
choose from four colors of jerseys
and pants: green, yellow, white,
and black. There are three helmet
options: green, white, and yellow.
Also, there are the same four colors
of socks and two colors of shoes,
black and yellow.
a. How many jersey/pant
combinations are there?
b. If the coach picks a jersey/pant combination at random, what is the
probability he will pick a yellow jersey with green pants?
c. Use a tree diagram to find all of the possible shoe and sock
combinations.
d. MATH IN THE MEDIA Use a newspaper or magazine, the television, or
the Internet to find the number of jerseys and pants your favorite
college or professional team has as part of its uniform. Determine
the number of jersey/pant combinations there are for your team.
C 16. CHALLENGE Refer to Exercise 14. Do the two players both have an equal
chance of winning? Explain.
- FIND THE ERROR Caitlyn wants to determine the probability of guessing
correctly on two true-false questions on her history test. She draws the
tree diagram below using C for correct and I for
incorrect. Find her mistake and correct it.
$
*
$ $$
$*
$$
**
*
$
*
2VFTUJPO
4BNQMF
2VFTUJPO 4QBDF
- REASONING In the English language, 13% of the letters used are Es.
Suppose you are guessing the letters of a two-letter word in a puzzle.
Would you guess an E? Explain. - E WRITE MATH Describe a game between two players using one coin
in which each player has an equal chance of winning.
Tree Diagrams Tree Diagrams To save
time and space, you can
use a single letter to
represent each outcome
in a tree diagram.
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