Dependent Compound Events

Dependent Compound Probability

This is an example of INDEPENDENT Compound probability

Open Ended

Read the top question and then the bottom question. What do you noticed is the same? What do you notice is different? Give me at least 1 answer to each question.

When you don't put the marble back, it changes the total number of marbles for your second pick

Multiple Choice

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

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, she picks a second card at random.

• Independent

• Dependent

Multiple Choice

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

• mutually exclusive event
• probability
• dependent event
• simple probability

Multiple Choice

The outcome of one event does not influence the outcome of the other event

• independent event
• tree diagram
• simple event
• odds

Multiple Choice

Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 

• Independent
• Dependent

Multiple Choice

Clara picks a marble at random, puts it back, and then picks another marble at random.

• Dependent
• Independent

Multiple Choice

Victor picks a card at random. Without putting the first card back, he picks a second card at random.

• Dependent
• Independent

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. Find P(purple then black)

• 1/18

• 2/5

• 3/7

• 4/9

Multiple Choice

Gregg has 12 cards. Half are black, and half are red. He picks two cards out of the deck without replacement. What is the probability that both cards are red?

• 1/6

• 5/22

• 1/2

• 1/144

Multiple Choice

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

• $$\frac{3}{7}\times\frac{3}{7}$$

• $$\frac{3}{7}\times\frac{2}{6}$$

• $$\frac{3}{7}\times\frac{3}{6}$$

• $$\frac{3}{7}\times\frac{7}{3}$$

Multiple Choice

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?

• 9/49

• 4/125

• 1/10

• 1/30

Multiple Choice

3 Cokes, 1 Sprite and 1 Dr.Pepper are left in the fridge. What is the probability of selecting a coke and then a sprite without replacing the coke?

• 4/9

• 9/20

• 3/20

• 2/5

Multiple Choice

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

• 3/5

• 3/4

• 3/20

• 2/5

Multiple Choice

A box contains 3 black pens, 7 blue pens and 5 red pens. Without replacing the first pen, what is the probability of pulling a red and then a blue pen?

• 1/3

• 1/2

• 1/5

• 1/6