Probability Dependent and Independent Events

Moe rolls two dice. What is the probability the sum of the dice is 7, given that the first die is showing a 2?

What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?

• 5/6

• 1/36

• 1/3

• 1/6

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes

• No

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.  P(green, black)

• 3/20

• 1/4

• 3/31

• 2/27

The spinner is spun two times.  Determine the probability of landing on red the first spin and on green the second spin .

• 1/9

• 1/10

• 0

• 1/12

Find the probability if you pick a card, do not replace it, then pick another card.

p(black, then white)

• 15/56

• 5/14

• 3/28

• 1/4
• 1/8
• 1/2
• 1/6

• 1/2
• 1/8
• 1/3
• 1/12

Find the probability if you pick a card, do not replace it, then pick another card.

p(black, then black)

• 15/56

• 5/14

• 3/28

Each letter of the word Banana is written on a card. Find each probability if you pick two cards without replacing the first.

p(B, then N)

• 2/30

• 6/30

• 3/30

• 0