6.4 independent and dependent

Independent and Dependent Events - Probability

Independent & Dependent Events

• Independent - One activity does not affect the outcome of a different activity.

  • Drawing marbles from a bag, but putting them back each time.

• Dependent - One activity DOES affect the outcome of another activity.

  • Drawing a card from a deck of cards, not putting it back and drawing another.

Multiple Select

You roll a number cube twice. The first time is a 3 and the second time is an even number.

• Independent

• Dependent

Multiple Select

You randomly draw a marble from a bag of marbles. You get a red and don't put it back into the bag. You draw another marble out of the bag and get a yellow.

• Independent

• Dependent

Multiple Choice

Find the probability of spinning a 2 on a spinner numbered 1 - 5; and the probability of flipping a coin and landing on tails.

• 1/10 or 10%

• 1/4 or 25%

• 1/2 or 50%

• 2/3 or 67%

Multiple Choice

People are randomly chosen to be game show contestants from an audience of 100 people. You are with 5 of your relatives and 6 other friends. What is the probability that you, your relatives, and your friends are not chosen to be either of the first two contestants?

• 50/70 or 71.4%

• 58/75 or 77.3%

• 60/70 or 85.7%

• 88/100 or 88%

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

• 2/9

• 1/3

• 1/2

• 1/4

Multiple Choice

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(white, then purple, then black)

• 1/36

• 2/39

• 5/41

• 6/43