Dependent Events Warmup

Independent or Dependent?

Drawing a 7 out of a deck of cards, keeping it, and drawing a jack.

• Independent Events

• Dependent Events

Answer explanation

Drawing a 7 and keeping it affects the probability of drawing a jack, making the events dependent on each other.

Tags

CCSS.HSS.CP.A.5

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent

• Dependent

Answer explanation

The two events are dependent because the outcome of drawing the first red marble affects the probability of drawing a blue marble next without replacement.

Tags

CCSS.HSS.CP.A.5

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

Answer explanation

The probability of drawing a purple marble on the first draw is 5/10. After drawing a purple marble, there are 4 purple marbles left out of 9 total marbles. Therefore, the probability of drawing another purple marble is 4/9. Multiplying the probabilities gives 5/10 * 4/9 = 2/9.

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

• 1/6

• 5/6

• 1/3

• 2/3

Answer explanation

The probability of picking a white rose first is 8/16, then picking a red rose is 5/15. Multiplying both probabilities gives 8/16 * 5/15 = 1/6.

A cooler contains fourteen bottles of

sports drink: seven lemon-lime flavored

and seven orange flavored. You randomly

grab a bottle and give it to your friend.

Then, you randomly grab a bottle for

yourself. Your friend gets a lemon-lime

and you get an orange.

• Independent

• Dependent

Answer explanation

The events of selecting the drinks are dependent because the outcome of the first selection affects the probability of the second selection.

Tags

CCSS.HSS.CP.A.5

An event is DEPENDENT, if...

• The first event has no affect on the next event

• The first event affects the second event

Answer explanation

The first event affects the second event

Tags

CCSS.HSS.CP.A.5