Question
1. A game involves a spinner that is evenly separated into four sections. To play the game, a player spins the spinner three times. What
1. A game involves a spinner that is evenly separated into four sections. To play the game, a player spins the spinner three times. What is the number of individual outcomes when spinning the wheel three times?
A.)64
B.) 3
C.)12
D.)4
2.A box has 10 disks numbered 1 through 10. A disk is drawn at random 50 times with replacement. The disk numbered 7 was drawn 6 times. What is the relative frequency of getting the disk numbered 7 on the next draw?
A.)6/50
B.)6/44
C.)7/50
D.)7/44
3.Sarah plays a game in which she can purchase a ticket. Each ticket has several chances, or "catches," to win money. The table below shows the probability of winning at each stage, and how much money the ticket can win at each catch. Every time Sarah plays the game, her ticket is played through each catch, which means she can win money at each stage.
Catch | Probability | Winnings |
Catch 0 | 50% | $1 |
Catch 1 | 30% | $5 |
Catch 2 | 15% | $10 |
Catch 3 | 5% | $100 |
Given the probabilities and payout values in this table, what is the expected value of Sarah's ticket?
A.)$116.00
B.)$8.50
C.)$6.70
D.)$53.50
4.The probability of randomly picking out an autobiography from a bookshelf is 2/7 . What are the odds in favor of choosing an autobiography?
A. 2:9
B. 2:5
C. 5:9
D. 5:2
5.A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00."
For any spin of the wheel, what is the probability of the roulette ball NOT landing on red?
A.)9/19
B.)10/19
C.)1/19
D.)18/19
6.Which pair of events are NOT overlapping when rolling a single die?
A.)
Getting a number less than 5 Getting a 2
B.)
Getting a number greater than 3 Getting a 6
C.)
Getting a number less than 5 Getting a prime number
D.)
Getting a number greater than 5 Getting an odd number
8.Two sets --M and N-- are shown in the Venn diagram below.
Which statement is FALSE?
A.)Set M has 30 elements.
B.)Sets M and N have 4 common elements.
C.)There are a total of 112 elements shown in the Venn diagram.
D.)Set N has 22 elements.
9.Zhi noticed that an odd number had appeared eight times in a row on the following roulette table. She now felt very strongly that an even number would be next.
On a single spin, the probability of getting an even number is . Considering the last eight spins resulted in odd numbers, what is the probability of getting an even number on the next spin?
A.)because each spin is independent.
B.)because each spin is independent.
C.)because each spin is dependent.
D.)because each spin is dependent.
10.The probability of drawing a blue ball from Bag A is 1/5 and the probability of drawing a red ball from Bag B is 2/3. What is the probability of drawing a blue ball from Bag A AND a red ball from Bag B?
A.)3/8
B.)2/15
C.)13/15
D.)7/15
11.What is the probability of getting an odd number OR a 2 upon rolling a six-sided die?
A.)5/6
B.)1/2
C.)1/3
D.)2/3
12. In a well-shuffled, standard 52 card deck, what is the probability that a card is a Two, given that it is NOT a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
A.)4%
B.)29%
C. 10%
D.)8%
13. A school cafeteria wants to find out what combinations of food and beverage students are ordering. The results are represented in the two-way table below:
Food | ||||
Pizza | Hamburger | Salad | ||
Water | 11 | 7 | 23 | |
Beverage | Slurpee | 18 | 19 | 5 |
Soda | 28 | 12 | 14 |
Of the students who ordered salad, what is the probability that a student also ordered water?
A.)23/42
B.)23/137
C.)42/137
D.)19/42
14.The following contingency table shows the number of games won and lost at two locations where a local baseball team had played.
Wins | Losses | |
Daryl Fields | 6 | 4 |
Lincoln Park | 7 | 3 |
What is the probability that the team won a game if it played at Lincoln Park? Answer choices are rounded to the hundredths place.
A.)0.35
B.)0.54
C.)0.70
D.)0.65
15.In a standard deck of cards, what is the probability of drawing two face cards in a row? Answer choices are in the form of a percentage, rounded to the nearest whole number.
A.)28%
B.)71%
C.)5%
D.)10%
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