Question 1

If you were to pull a marble from this bag with replacement 144 times, how many times would you expect to pull out a marble that is not yellow? In a different experiment--if you pulled a red or purple marble 60 times, how many times would you expect to have pulled marbles out of the bag?

Question 2

Match each of the following descriptions with a term that defines it in the drop-down.

• - A probability based on relative frequencies of events that actually occurred
• - If events A and B cannot occur at the same, then events A and B are
• -The probability of an event occurring, given that another event has occurred
• - The probability that two or more events will happen at the same time
• - If the probability of event A is not affected by event B, then A and B are

1. Event
2. Subjective probability
3. Classical probability
4. Complement
5. Independent events
6. Empirical probability
7. Outcome
8. Conditional probability
9. Mutually exclusive
10. Sample space
11. Joint probability

Question 3

An experiment is rolling two fair dice and adding the numbers. State the sample space. S = Find the probability of getting a sum of 6. Round to four decimal places, if necessary. P(6) = Find the probability of getting a sum of 12. Round to four decimal places, if necessary. P(12) = Find the probability of getting a sum of 10 or sum of 4. Round to four decimal places, if necessary. P(10 or 4) = Find the probability of not getting a sum of 2. Round to four decimal places, if necessary. P(not 2) =

Question 4

A test was given to a group of students. The grades and gender are summarized below

A B C Total

Male 10 17 15 42

Female 4 6 20 30

Total 14 23 35 72

If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'C'.

Question 5

Based on a survey of registered voters, party affiliation and gender are summarized below

Democrat Republican Independent Total

Male 15 23 18 56

Female 28 9 13 50

Total 43 32 31 106

If one registered voter is chosen at random, Find the probability that the registered voter were registered as a 'Democrat' GIVEN they are male. Write your answer as a decimal rounded to three decimal places.

Question 6

As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting:

1) A(n) 3 of Spade s? 152 2) A Club or Heart? 3) A number smaller than 4 ? (counting the ace as 1)

Please answer the question in sequential order. Thank you.