1. What probability rule applies to this scenario?

If 58% of the stats studs surveyed have "t-rex" arms, what the the probability that a randomly chosen stats stud would not have "t-rex" arms?

A.#3 the "add probabilities if there is no overlap" rule (aka "the disjoint addition rule")

B. #5 the "subtract off anything that overlaps" rule

C.#2 the "all together we are one" rule

D. #4 the complement rule (aka the most romantic rule because "together we make one")

E. #1 the "don't make an obvious mistake" rule

F.#6 the multiplication rule for independent events rule

2. Assuming that no one in the class is wearing wool socks with sandals, what is the probability of picking a random student who is either wearing wool socks or is wearing sandals?

A. #2 the "all together we are one" rule

B. #4 the complement rule (aka the most romantic rule because "together we make one")

C. #3 the "add probabilities if there is no overlap" rule (aka "the disjoint addition rule")

D. #5 the "subtract off anything that overlaps" rule

E. #1 the "don't make an obvious mistake" rule

F. #6 the multiplication rule for independent events rule

3. What probability rule applies to this scenario?

The probability of rolling a 5 on a standard 6-sided die is 1/6. The probability of rolling a 4 on the next roll is also 1/6. Each roll is independent from the last, therefore the probability of rolling a 5 and then a 4 is...

A. #3 the "add probabilities if there is no overlap" rule (aka "the disjoint addition rule")

B. #5 the "subtract off anything that overlaps" rule

C. #4 the complement rule (aka the most romantic rule because "together we make one")

D.#2 the "all together we are one" rule

#E. 6 the multiplication rule for independent events rule

F. #1 the "don't make an obvious mistake" rule

4. What probability rule applies to this scenario?

Consider these facts about the first assignment in a History 101 class.

The probability that a randomly chosen student got a passing grade on the assignment is 88%

The probability that a randomly chosen student got an A on the assignment is 10%

Question: What is the probability that a randomly chosen student got passing grade that wasn't an A?

A. #1 the "don't make an obvious mistake" rule

B. #6 the multiplication rule for independent events rule

C. #3 the "add probabilities if there is no overlap" rule (aka "the disjoint addition rule")

D. #2 the "all together we are one" rule

E. #4 the complement rule (aka the most romantic rule because "together we make one")

F. #5 the "subtract off anything that overlaps" rule

5. What probability rule applies to this scenario?

When Stephen goes grocery shopping they spend more than $20 for about 75% of the trips, and given into temptation to buy ice cream about 30% of the trips. Therefor the chance that they will only do one of those is:

P(getting ice cream)-P(spending more than $20 at grocery store)

= 30%-75%

=-45%

A. #2 the "all together we are one" rule

B. #5 the "subtract off anything that overlaps" rule

C. #6 the multiplication rule for independent events rule

D. #3 the "add probabilities if there is no overlap" rule (aka "the disjoint addition rule")

E. #1 the "don't make an obvious mistake" rule

F. #4 the complement rule (aka the most romantic rule because "together we make one")

LESSON 4.6 - THE MULTIPLICATION RULE FOR INDEPENDENT EVENTS HOW SHOULD WE INTERPRET GENETIC SCREENING? The First Trimester Screen is a test given during the first trimester of pregnancy to determine if there are specific chromosomal abnormalities in the fetus. According to a study published in the New England Journal of Medicine, approximately 5% of normal pregnancies will receive a positive result. Assume that test results for individual women are independent. 1. Suppose that two unrelated women who are having normal pregnancies, Devondra and Miranda, are given the First Trimester Screen. What is the probability that Devondra gets a positive result and Miranda gets a negative result?(c) Write a short summary about the multiplication rule for independent events using your answers to parts (a) and (b) to illustrate the basic idea. 4.21 What's wrong? In each of the following scenarios, there is something wrong. Describe what is wrong and give a reason for your answer. (a) If two events are disjoint, we can multiply their probabilities to determine the probability that they will both occur. (b) If the probability of A is 0.7 and the probability of B is 0.5, the probability of both A and B happening is 1.2. (c) If the probability of A is 0.45, then the probability of the complement of A is -0.45.2. [10 pts] Let A, B, and C be three independent events (i.e., the multiplication rule for independent events holds for all three of them, in particular, P(An B n C) = P(A)P(B)P(C)). Show that A and (B U C) are also independent by showing that P[An (B UC)] = P(A)P(B UC). (Hint: The distributive law for sets might be helpful: An (B UC) = (An B) U (An C). You do not have to prove it but it is easily done using Venn diagrams.) Show all the steps