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Probabilistic Reasoning Videos 13 videos

TSI Math: Rolling Dice to Predict Probabilities
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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: Using the Normal Curve to Solve for Binomial Probability 5 Views


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Description:

During a power outage, Finn realizes that his flashlight needs two new AAA batteries. Finn takes two batteries from a drawer containing an assorted selection of 30 batteries. If 30% of these batteries are AAA, what is the probability that both batteries Finn selects will be AAA?


Transcript

00:03

Our size matters during a power outage phaen realizes that

00:07

his flashlight needs to new triple a batteries Finn takes

00:11

two batteries from a drawer containing an assorted selection of

00:14

thirty batteries If thirty percent of these batteries are triple

00:17

a what is the probability that both batteries finn selects

00:21

will in fact be triple a Well isn't this problem

00:27

absolutely delightful Any probability can be found by dividing the

00:33

number of desired outcomes by the total number of outcomes

00:36

possible right So that's in the numerator and that's the

00:39

denominator right there are personal desired outcome would be a

00:41

game of flashlight tag but let's figure out if we

00:43

can get this thing working First start with the first

00:45

battery that finn takes out of the drawer since the

00:47

problem tells us that thirty percent of those thirty batteries

00:50

are triple a Well we can calculate that there's a

00:52

thirty percent chance that the first battery finn picks will

00:55

be right Like nine out of thirty of those batteries

00:58

being chosen Our trip lays right well once he picks

01:01

his first battery Then there are twenty nine batteries to

01:04

pick from but only eight of those will be right

01:07

since he's already successfully drawn one of the correct batteries

01:10

right these air too dependent events because the probability of

01:13

picking one triple a battery on a draw changes after

01:17

the first time finn goes into the drawer to find

01:19

the probability that both batteries or triple a while we

01:21

just apply the formula for calculating The probability of two

01:24

deep and an events pva times p of b one

01:27

say has occurred equals p of a and b And

01:30

what does all that mean while we get nine over

01:32

thirty times eight over twenty nine at seventy two over

01:35

a lot and well bottom line is the fraction there

01:38

is big and it's about point Oh eight to eight

01:41

if you have a handy dandy calculator So since our

01:43

answers were given in percentages we've have to convert that

01:45

decimal into a percentage by multiplying it by a hundred

01:48

percent And voila the correct answer is an eight point

01:51

two eight percent Those don't look like great odds Looks

01:54

like poor finn will be groping around in the dark

01:56

for quite some time Let's Hope they're not The spiders 00:01:59.661 --> [endTime] look been there

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