A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
Independent
Dependent
2. Multiple Choice
2 minutes
1 pt
Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?
Yes
No
3. Multiple Choice
5 minutes
1 pt
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
2/5
1/21
4/25
1/7
4. Multiple Choice
1.5 minutes
1 pt
There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
1/3
2/9
1/6
1/4
5. Multiple Choice
1.5 minutes
1 pt
There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?
1/6
5/6
1/3
2/3
6. Multiple Choice
5 minutes
1 pt
In a bag containing 15 billiard balls of three colors - red, yellow and white, Frank picks a ball at random, notes down the color and replaces it. He repeats this experiment 25 times and the results are shown in the table.
6 yellow, 9 red, 1 white
2 yellow, 5 red, 8 white
5 yellow, 8 red, 2 white
5 yellow, 10 red, 5 white
7. Multiple Choice
1.5 minutes
1 pt
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
9/182
5/182
2/91
10/91
8. Multiple Choice
1.5 minutes
1 pt
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
1/4
1
1/8
1/2
9. Multiple Choice
5 minutes
1 pt
Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)
1/2
3/4
1/4
1
10. Multiple Choice
5 minutes
1 pt
Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?
2/52
1
13/52
1/52
11. Multiple Choice
5 minutes
1 pt
A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?
3/50
1/25
1/10
2/5
12. Multiple Choice
5 minutes
1 pt
There are 10 pens and 15 pencils in a box. If a student selects two of them at random, then what is the probability of selecting a pen and then a pencil?