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Data Analysis, Statistics, and Probability Videos 36 videos
Per month, how much more money does Rose save than Olive?
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Description:
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
- Data Analysis, Statistics, and Probability / Probabilistic Reasoning
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:03
Okay yes i'm ash jumpers Here we go Ah almost
- 00:06
done Rashaad is trying to think of character names for
- 00:09
a short story Put the name's carter jackson lincoln cassidy
- 00:12
and kennedy on a five sided die Any roles at
- 00:14
once for the characters first name and once for the
Full Transcript
- 00:16
last according to the area model below what's The probability
- 00:20
that character will have the same first name is last
- 00:23
name All right we've got an area model here to
- 00:29
show us the sample space for all the possible names
- 00:31
we could get using carter jackson kennedy lincoln and cassidy
- 00:35
in both first and last names there Yeah we could
- 00:37
have made an organized list of all the names or
- 00:39
simple table or even a tree diagram and doesn't matter
- 00:42
exactly how we show the samples based lungs We show
- 00:45
all the possibilities well to find the probability that rashad
- 00:48
gets the same first and last name we first count
- 00:51
how many total outcomes there are in the sample space
- 00:54
This will live in the basement of our fraction This
- 00:57
five by five grid has twenty five total outcomes Now
- 01:00
count how many times we get a same first and
- 01:03
last name Like carter carter there are five such names
- 01:06
This is in the addict of our fraction and that
- 01:09
makes five over twenty five or one fifth or twenty
- 01:11
percent So twenty percent chance getting the same first and
- 01:14
last name And well we're kind of partial to that 00:01:16.526 --> [endTime] lincoln lincoln actually shmoop home
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