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Probabilistic Reasoning Videos 13 videos

TSI Math: Rolling Dice to Predict Probabilities
31 Views

Hakim rolled a standard 6-sided die 3000 times. Which of the following is the most reasonable prediction of how many times he rolled a five?

TSI Math: Predicting Probabilities with a Trick Coin
31 Views

Mercedes has a trick coin that's more likely to land on heads than on tails. She flipped the coin 1500 times, resulting in tails 450 times. What is...

TSI Math: Predicting a Sequence of Probabilities
55 Views

A standard deck of playing cards contains 4 different suits, each of which has 13 cards. Assuming the deck is shuffled, what is the probability of...

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TSI Math: Determining Probabilities Using a Chart 3 Views


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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?


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

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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