Probability of Dependent Events

An event is DEPENDENT, if...

• The first event has no affect on the next event

• The first event affects the second event

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

Cindy flips a coin once, records the result, then flips it again. Does this situation represent INDEPENDENT or DEPENDENT events?

• Independent

• Dependent

Tom will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Tom will select a treat, replace it, and then select a second treat.

• Independent

• Dependent

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?

The spinner is spun twice. What is the probability that it lands on red first and then blue?

• 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

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. Find P(both marbles are purple)

• 2/9

• 1/3

• 1/2

• 1/4

What is the probability when 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. Find P(gumball then lollipop)

• 1/24

• 4/15

• 1/100

• 2/10

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. Find P(white, then purple, then black)

• 1/36

• 2/39

• 5/41

• 6/43