Page 540 - Algebra 1

Example
2
Representing Data with a Table
A student spins the spinner and flips a fair coin.
a. Make a table to show the possible outcomes in this experiment.
SOLUTION
Red
Yellow
Blue
Red
Math Language
A fair coin has an equally likely chance of coming up heads or tails on the toss of the coin.
The column headings are the possible colors for the
spinner. Since there are two red sections on the spinner, there are two red columns.
The row headings are the possible sides of a coin, heads and tails.
The table is completed by recording all possible outcomes of a spin and a flip. Abbreviate the outcomes.
b. Find the theoretical probability of each possible outcome. SOLUTION
The table shows that there are 8 possible outcomes.
P(RH)=_2 =_1 P(BH)=_1 P(YH)=_1 8488
P ( R T ) = _2 = _1 P ( B T ) = _1 P ( Y T ) = _1 8488
Representing Data with a Graph
Suppose that eleven cards each contain one letter from the word MISSISSIPPI.
a. Make a bar graph to represent the frequency distribution for all possible outcomes.
Red
Blue
Red
Yellow
Heads
RH
BH
RH
YH
Tails
RT
BT
RT
YT
Math Reasoning
Justify Why is the probability of spinning “red” _1?
2
Reading Math
P(RH) is the probability of spinning “red” and landing on “heads.”
Example
3
Hint
Although some letters are on more than
one card, there will be only one bar on the graph for each letter.
SOLUTION
Letter Frequency
MISP
Letters
6 4 2 0
b. Find the theoretical probability of each outcome. SOLUTION
P ( M ) = _1 P ( I ) = _4 P ( S ) = _4 P ( P ) = _2 11 11 11 11
Lesson 80 525
Frequency