ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Probabilistic Reasoning Videos 17 videos
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?
SAT Math 1.4 Statistics and Probability. If two standard 6-sided dice are rolled, what is the probability that the sum of the dice will be gre...
TSI Math: Calculating Conditional Probability with Baye's Theorem 4 Views
Share It!
Description:
Toni ordered pizza for a party, and needs it to arrive by 7pm. There is a 30% chance the pizza will be delivered late. If the pizza is late, there is an 80% chance it will be cold. Regardless of whether the pizza shows up on time, there is also a 31% chance it will be cold. If the pizza was cold on arrival, what is the probability it was delivered late?
- 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 sy mash members we got some more probability stuff
- 00:07
for you Here we go Tony ordered pizza for a
- 00:09
party and needs it to arrive by seven pm there's
- 00:12
a thirty percent chance that pizza will be delivered late
- 00:15
If the pizza's late there's an eighty percent chance it
Full Transcript
- 00:18
will be cold regardless of whether the pizza shows up
- 00:21
on time There's also a thirty one percent chance it
- 00:24
will be cold if the pizza was cold on arrival
- 00:27
Well what is the probability It was delivered late Okay
- 00:33
well when we need to travel back in time to
- 00:35
answer a probability question our choices are the tricked out
- 00:38
delorean time machine or based there Um well since we
- 00:41
let out the delorean will go with based their amir
- 00:44
based serum comes in two versions and each one is
- 00:46
useful in different situations Take a look at the information
- 00:49
given by the question and put it in symbolic form
- 00:52
to figure out which version of bays to use Well
- 00:55
we want to know the probability that that pizza dude
- 00:57
was late given that the pizza was cold If we
- 01:00
set event b to be late delivery and a to
- 01:03
be cold pizza we're looking to find probability of be
- 01:07
given a probability that the pizza's cold given that it
- 01:10
was delivered late His point eight That means well this
- 01:12
p a given b thing is point eight Right That's
- 01:15
probability The probability of a late delivery is point three
- 01:18
or ah this thing the probability that pizza arrives cold
- 01:21
is point three one or ah this equation right there
- 01:24
Well the three things we do know and the one
- 01:25
thing we want to know match the simpler form Of
- 01:28
based serum which is this thing and we just plug
- 01:31
it all in and see if it works So we've
- 01:33
got point eight times point three over point three one
- 01:35
that's point two four point three one what does that
- 01:37
give us About a seventy seven and a half percent
- 01:40
chance that the pizza dude was late If the pizza
- 01:43
arrived cold gross and all congealed congealed What happened Your
- 01:48
pineapple pizza We need more pineapple on it Come on 00:01:50.688 --> [endTime] guys
Related Videos
Per month, how much more money does Rose save than Olive?
All of the following statistical measures of the data above have the same value EXCEPT for
500 customers had pizza. What is the minimum number of slices that Lettuce Stuff You could have served yesterday?
What is the median number of slices eaten per customer?
The following table shows the coffee preferences of everyone in Isabelle's office. What percentage of Isabelle's coworkers put cream in their coffee?