MacMillan/Manuel
Math 112A Probability Quiz 2 ANSWERS /29
Name:_______
I. Multiple Choice. Choose the best answer and place it in the corresponding blank at the end. Value 12 1. You win a draw at a Renaissance Breakfast that allows you to randomly pick 3 DVDs from a basket containing 12 DVDs. You know that your 3 favorite DVDs are in the basket. What is the probability that you will select your 3 favorite DVDs in any order ? a) 1/1320 b) 1/288 c) 1/1728 d) 1/220 2. A bag contains 10 blue and 4 green marbles. Suppose you removed 2 marbles at random, without replacement. What is the probability that the two marbles will be green? a) 6/91 b) 4/49 c) 6/7 d) 7/27 3. Suppose you did not replace the 1st card before selecting a 2nd from a well-shuffled deck. Which is used to find the probability that the outcome will be two black face cards? a) 12 x 11 b) 6 x 5 c) 6 x 5 d) 6 + 5 52 51 52 52 52 51 52 51 4. Which can be used to find how many different license plate numbers are possible in the form "letter, number, letter, number, letter, number" if the first letter cannot be an A or Z and no letter or number can be repeated? a) 24x10x24x9x23x8 b) 24x9x25x8x24x7 c) 24x10x23x9x22x8 d) 24x10x25x9x24x8 5. The value 6! is equivalent to: a) 6P1 b) 6P6
c) 6C1
d) 6C5
6. How many different arrangements are there for placing 8 textbooks on a shelf from left to right? a) 5040 b) 64 c) 40320 d) 6400 7. What is the probability of selecting a queen or a black card from a well-shuffled deck of cards? a) 15 b) 7 c) 15 d) 29 26 13 52 52 8. What is the probability of selecting a jack or a red four from a well-shuffled deck of cards? a) 3 b) 5 c) 3 d) 2 26 52 52 13 9. The product of 19x18x17 is equivalent to: a) 19P3 b) 19! C) 19P16 d) 19! 3! 17! 11. Which of the following represents 26x25x24x13x12x11 as a ratio of factorials? a) 26! b) 26! 23! c) 26! 13! d) 26! 13! 10! 13! 10! 24! 11! 23! 10! 12. In a Probability Area Model diagram, P(event A or event B) is equal to the fraction of the grid that is: a) shaded b) shaded twice c) shaded only once d) unshaded
Multiple Choice Answers *Use Capital letters
1_D___2.__A___3.__C___4. __D___ 5. __B___ 6. ___C___ 7._B____8. ___A__9. __A__10._omit__11. __D___ 12 ._A____
II. Open Response. Show your work in the space provided and put the final answer in the blank. Value 2 each ___1/221___ 1. What is the probability of selecting two kings from a deck if the first card is not replaced before selecting the 2nd?
4/13 ________ 2. What is the probability of selecting a heart or a jack from a deck of cards?
21!/17! _______ 3. Represent 21 x 20 x 19 x 18 as a ratio of factorials.
210 ______
4. Evaluate 7! 4!
5. Complete the following Venn Diagram for a deck of cards.
Diamonds
Even Numbered Cards
__8___ _____
__5___
15
__24___ __1/169__ 6. At a casino in Halifax, Jessica plays a game in which she must select a King followed by a Queen from a deck of cards in order to win the big Jackpot. What is the probability that _____ Jessica will win? (note: the first card is replaced)
7. Two six-sided die are rolled - one blue and one red. Draw an area model diagram to represent: Event A: rolling an even number on the blue die Event B: rolling a number of less than 4 on the red die a) Using your area diagram – determine P(A and B) (value 1) b) Using your area diagram – determine P(A or B) (value 1) 1/4 3/4 Area Model Diagram (value 1)
8. Tim and Rob are golfers who have putts to make. Tim successfully completes a putt 2 out of every five attempts while Rob completes his putt 1 out of every three attempts. Draw an area model diagram and use it to represent: Area Model Diagram (value 1) a) the probability that Tim and Rob make their putts ____2/15___ (value 1) b) the probability that Tim or Rob make their putts ___3/5_______ (value 1)