Misc.
(Slide 2)
What is the probability that a Grey card is chosen?
20/34 or (10/17)
(Slide 2)
What is the Probability that the card drawn is White OR 3?
P(White U 3)
17/34 (or 1/2)
The denominator for a conditional probability word problem is determined by the event that comes after the word ______?
Given
The increase/decrease factor in Bayes' Theorem tells us what?
Multiple answers
A False Positive indicates what?
The patient tested positive and is not actually infected
(Slide 2)
What is the probability that the card drawn has an E?
6/34 (or 3/17)
(Slide 3)
What is the compliment to a marble being NOT Blue AND NOT Copper?
[What is the compliment of P(Bluec ∩ Copperc)?]
The probability of the marble being Blue or Silver
P(Blue U Copper)
(Slide 2)
What is the probability that the card drawn is a 3 Given that it as A?
0/14 or 0
Bayes' Theorem deal with Basic Probabilities and _________ Probabilites
Conditional (Given or l )
Sensitivity is the probability that patient test positive given that they are infected.
What is Specificity?
[Hint: It is the opposite]
Specificity is the probability that a patient test negative given that they are infected.
(Slide 4)
What is the probability that the spinner lands on Dark Green and the coin lands on Heads?
Are these probabilities independent or dependent? Explain
(1/10)x (1/2) or (1/20)
These two probabilities are independent, the outcome of the first event does not effect the outcome of the second event.
(Slide 4)
What is the probability of landing on Pink OR getting Tails?
Hint: P(A U B) = P(A)+P(B)-P(A ∩ B)
11/20
(Slide 3)
What is the probability that the marble drawn is NOT blue GIVEN made of steel?
16/31
Explain Bayes Theorem in your own words
Multiple Correct Answers
What is the probability that a patient had a false negative test?
6/286 (or 3/143)
Free 400 Points
(Their was an error in the original question)
My Bad
(Slide 3)
What is the probability that a marble is Blue AND Red?
0
(Slide 3)
Which event has a higher chance of occurring
The probability of pick a Blue marble given it is Plastic or The probability of picking a Plastic Marble given that it is blue?
Plastic Given that it is Blue
P(Plastic l Blue)=11/29
P(Blue l Plastic)=11/40
Daily Double!!!
The probability that a UK student has a scholarship is .3. The probability of a UK student being apart of a club is .51. The probability of a UK student having a scholarship Given they are apart of a club is .43.
What is the probability that a UK student is apart of a club Given they have a scholarship?
[Note: It is okay to round your answer]
Around .731
(Factor increase: 1.43)
What is the probability that the patient had a true positive test?
4/14 (or 2/7)
Daily Double!!! (Slide 4)
At a carnival there is a game where you can spin a wheel and flip a coin by paying $2
If you land on Red and Heads you get $2
If you land on Blue(Dark or Light) and Heads you get $4
You get nothing for the other results
1) What is the probability landing on Blue and Heads?
2) Is this Game worth Playing? Explain
1) (2/10) x (1/2) or 2/20 or 1/10
2)
The Probability of Event A and the probability of the Compliment of Event A should equal what?
P(A) + P(Ac) = ?
1
Why is conditional probability important?
Where do we see conditional probability in the real world?
Multiple Correct Answers
(Slide 6)
[Hint: If you think that the problem is missing information, reread the first sentence]
8%
Which test test result is most problematic from the perspective of the patient? (Explain)
False Negative
(But an argument could be made for other test results)