TSI Math: Determining Probabilities Using a Chart
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Rashad is trying to think of character names for a short story. He put the names "Carter," "Jackson," "Lincoln," "Cassidy", and "Kennedy" on a five-sided die. Then, he rolls it once for the character's first name and once for the last name. According to the area model below, what's the probability that a character will have the same first name as last name?
| Data Analysis, Statistics, and Probability | Probabilistic Reasoning |
| Mathematics and Statistics Assessment | Probabilistic Reasoning |
| Product Type | TSI |
| TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
| TSI Math | Data Analysis, Statistics, and Probability |
| TSI Mathematics | Data Analysis, Statistics, and Probability |
| Test Prep | TSI |
Transcript
last according to the area model below what's The probability
that character will have the same first name is last
name All right we've got an area model here to
show us the sample space for all the possible names
we could get using carter jackson kennedy lincoln and cassidy
in both first and last names there Yeah we could
have made an organized list of all the names or
simple table or even a tree diagram and doesn't matter
exactly how we show the samples based lungs We show
all the possibilities well to find the probability that rashad
gets the same first and last name we first count
how many total outcomes there are in the sample space
This will live in the basement of our fraction This
five by five grid has twenty five total outcomes Now
count how many times we get a same first and
last name Like carter carter there are five such names
This is in the addict of our fraction and that
makes five over twenty five or one fifth or twenty
percent So twenty percent chance getting the same first and
last name And well we're kind of partial to that 00:01:16.526 --> [endTime] lincoln lincoln actually shmoop home