Probability - Independent and Dependent Events

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.

• 3/20
• 1/4
• 3/31
• 2/27

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. What is the probability of picking an orange and then a green? P(orange then green)

• 1/15
• 2/15
• 3/31
• 1/5

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. What is the probability of picking a purple and then another purple? P(both marbles are purple)

• 2/9
• 1/3
• 1/2
• 1/4

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

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(black then white)

• 2/45
• 3/7
• 1/18
• 2/19

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

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. What is the probability that both coins will be nickels? P(nickel then another nickel)

• 6/13
• 2/7
• 5/16
• 3/19

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability of both pieces of fruit being apples?

• 2/15
• 3/17
• 1/19
• 6/21

There are 7 nickels and 6 dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter.Then you randomly pick another coin. P(The first coin is a nickel and the second coin is a dime).

• 7/26
• 3/19
• 10/21
• 18/35

There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. P(The first student is a boy and the second student is a girl).

• 7/26
• 1/2
• 2/17
• 8/29