Independent and Dependent Probability

Is the event INDEPENDENT or DEPENDENT?

You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy. We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

• Independent

• Dependent

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

• 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

Which event is an independent event?

• Picking 2 students to be the line leader and the door holder from a group of 20 students

• Picking 2 marbles from a bag without replacing the first marble

• Picking 2 crayons from a box without putting any back

• Picking an earring, replacing it, then picking a 2nd earring

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts. She puts the candy in the bowl. If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

• 1/35

• 7/210

• 2/75

A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

• $\frac{4}{75}$

• $\frac{12}{100}$

• $\frac{12}{210}$

• $\frac{5}{15}$

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• $\frac{12}{20}$

• $\frac{1}{11}$

• $\frac{1}{9}$

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

CHALLENGE QUESTION:

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then another even number without replacement?

• 1/4

• 2/10

• 2/9

• 3/5