Identify Independent and Dependent Probability

the outcome of the second event does not depend upon the outcome of the first event

• sample space

• dependent

• independent

• impossible

the outcome of the first event affects the outcome of the second event

• equally

• independent

• dependent

• certain

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent.

• Independent

• Dependent

Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent.

• Independent

• Dependent

Match the following based on whether it would independent or dependent probability.

• Independent

• Taking a piece of candy from a bag, eating it, then picking another

• Dependent

• Spinning a spinner and rolling a die

• Dependent

• Flipping 2 coins

• Independent

• Taking a marble out of a bag, replacing it, then picking another

• Independent

• Selecting 2 students for Knights at the Round Table

Independent events: the occurrence of one event ​ (a)   the probability of another event

Dependent events: the occurrence of one event ​ (b)   the probability of another event (sometimes called “not independent”)

• does not affect

• does affect

Determine if each event represents dependent or independent probability.

Flipping three coins​ (a)  

Drawing candy from a bag, not replacing it , then selecting another piece​ (b)  

Getting a marble of a bag, replacing it, then getting another​ (c)  

• independent

• dependent

Determine if each event represents dependent or independent probability.

• independent

• dependent

Determine whether each scenario below represents an independent event or dependent event. Flipping a coin and spinning a spinner.

• Independent

• Drawing an Ace from a deck of cards, replacing it, then drawing a King

• Dependent

• Drawing a Queen from a deck of cards, then drawing a 10

• Dependent

• Flipping a coin and spinning a spinner

• Independent

• Selecting a marble from a bad, not replacing it, and selecting another marble from the bag

• Independent

• Rolling a fair six-sided die and getting an A on your next test

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