2. The kings are separated from a deck of standard playing cards and shuffled. O
ID: 3087216 • Letter: 2
Question
2. The kings are separated from a deck of standard playing cards and shuffled. One king is randomly selected. What are the odds in favor of drawing a black card?
A)4:1 B)1:2 C)1:1 D) 1:4
Two marbles are drawn without replacement from a box with 1 blue, 2 green, 2 red, and 3 white marbles.
3. What is the probability that one marble is white and one marble is blue?
A)1/2 B)3/56 C)3/28 D) 1/4
4. What is the probability that the second marble is blue given that the first marble is blue?
A)0 B) 1/7C)1/28 D) 1/8
5. Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5.
A)3/18 B)5/18 C)1/3 D) 1/6
6. A basketball player hits three-point shots 43% of the time. If she takes 4 shots during a game, what is the probability that she misses the first shot and hits the last three shots?
A)4.5% B)3.4% C)34.2% D) 45.3%
7. A fair coin is tossed 5 times. What is the probability of no heads?
A)0.9688 B)0.0313 C)0 D) 0.0625
8. The following table contains data from a study of two airlines which fly to Small Town, USA.
Number of flights
arrived on time
Number of flights
arrived late
Podunk Airlines
33
6
Upstate Airlines
43
5
A)43/87 B)43/76 C)11/76 D) none
Number of flights
arrived on time
Number of flights
arrived late
Podunk Airlines
33
6
Upstate Airlines
43
5
Number of flights
arrived on time
Number of flights
arrived late
Podunk Airlines
33
6
Upstate Airlines
43
5
Explanation / Answer
2. The kings are separated from a deck of standard playing cards and shuffled. One king is randomly selected. What are the odds in favor of drawing a black card?
2 black kings and 2 red kings
P( black) = 2/4= 1/2
odd = 1 - 1/2 = 1:2
B)1:2
Two marbles are drawn without replacement from a box with 1 blue, 2 green, 2 red, and 3 white marbles.
3. What is the probability that one marble is white and one marble is blue?
3 C1 * 1 C1 / 8 C2 = 3 / 28
C)3/28
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