Question

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")

Answer 1

1. D: The complement rule

As having t-rex arms and not having them are complements of each other.

2. C: The disjoint addition rule.

As we are given that no one wears both woolen socks and sandles.

3. E: The multiplication rule for independent events.

The 1st and 2nd roll of die are independent of each other.

4. F: Subtract off anything that overlaps.

People pass without A= People pass- People pass with A

5. E : Don't do an obvious mistake.

The events are independent and do not overlap so there should be a multiplication and not substraction of probability.