Probability of Compound Events Dependent

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

• mutually exclusive event

• probability

• dependent event

• simple probability

2 or more simple events

• theoretical probability

• outcomes

• simple event

• compound event

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

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. P(apple, apple)

• 2/15

• 3/17

• 1/19

• 6/21

What is the probability of picking a green marble, keeping it, then picking green again?

What is the probability of picking a green marble, keeping it, then picking another green marble?

If you pick a red marble and keep it, how does that change the probability of getting a green marble when you pick a second time?

• No change

• More likely

• Less likely

• Impossible

Mrs. Cole has to choose two pieces of fruit for her lunch.  If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?  (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)

• 1/4

• 7/30

• 1/32

• 1/64

Which compound event if composed of dependent events?

• 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.

A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.

• 1/6

• 1/10

• 0

• 1/12