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WorksheetsDependent Events Probability Practice
Total questions: 20
Worksheet time: 20mins
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
Two marbles are drawn from a container in such a way that the first marble drawn is REPLACED before selecting the second marble. Classify this event as dependent or independent.
Independent
Dependent
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
1 ⁄ 6
1 ⁄ 8
1 ⁄ 2
1 ⁄ 12
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)
1/18
2/5
3/7
4/9
Are the events "takes Spanish" and "participates in a club" independent events?
Yes, because P(S) is the same as P(S given C).
No, because P(S) is not the same as P(S given C).
Yes, because P(S) is the same as P(C given S).
No, because P(S) is not the same P(C given S).
Are the events "Sports" and "Community Service" independent?
Yes, because P(S) is the same as P(S Given CS).
No, because P(S) is not the same as P(S Given CS).
Yes, because P(S) is the same as P(CS Given S).
No, because P(S) is not the same as P(CS Given S).
Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.
Determine if the events M and S are independent.
Independent
Not Independent
There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.
6/13
2/7
5/16
3/19
Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat.
Independent
Dependent
Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then WITHOUT putting the first card back, he picks a second card at random.
Independent
Dependent
Determine which compound event is DEPENDENT.
Selecting a candy bar from a bag, eating the candy bar, and selecting again
Selecting a candy bar from a bag, deciding you don't want it, replace the candy bar and select again.
Event 1: A card is drawn from a deck of standard cards and withheld.
Event 2: a second card is drawn
Are the events Independent/Dependent?
Independent
Dependent
A drawer contains 3 red, 4 green, and 2 blue paperclips.
Event 1: draw a paperclip and keep it.
Event 2: draw another paperclip.
Are the events Independent/Dependent?
Independent
Dependent
A box contains 20 black marbles and 5 red marbles.
Event 1: draw a red marble, not replaced
Event 2: draw a red marble
Are the events Independent/Dependent?
Independent
Dependent
Two fair dice are rolled. What is the probability that the sum is not 9? (Write in simplified fraction form)
(a)
A survey is conducted at Sunny Hills HS regarding the number of text messages sent and received per week.
If a student is chosen at random from this survey, what is the probability that the student texts over 50 messages per week given that the student is in the Junior class? (write as a fraction)
(a)
Two fair dice are rolled. What is the probability of not rolling doubles? (Write in simplified fraction form)
(a)
Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat.
Independent
Dependent
A jar contains 4 white playing chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(purple then black)
1/18
2/5
3/7
4/9
