Probability of Compound and Independent/Dependent Events

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

• 1/2

• 1/36

• 1/6

• 1/66

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

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

• 3/20

• 1/4

• 3/31

• 2/27

Clara picks a marble at random, puts it back, and then picks another marble at random.

• Dependent

• Independent

The outcome of one event does NOT influence the outcome of the other event

• independent event

• tree diagram

• simple event

• odds

The outcome of one event DOES influence the outcome of the other event

• mutually exclusive event

• probability

• dependent event

• simple probability

How do you find compound probability?

• Multiply your probabilities

• Add your probabilities

• Divide your probabilities

• Subtract your probabilities

P(2 then 5) = 

• 1/6

• 1/12

• 1/36