Probability With Replacement and Without

Independent probability happens when the probability of the first event does not affect the probability of the second event.

• True

• False

A pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?

• Independent

• Dependent

Oscar has a bag of game pieces - what is the probability that he will choose a blue piece, replace it, then choose a yellow piece?

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

• 1/9

• 3/9

• 3/6

• 5/6

The names of 6 boys and 7 girls are written on cards and placed in a hat. You pick one card, and without replacing it, you pick another. What is the probability of picking 2 cards with girls’ names?

Brad has a bag containing 8 green cubes, 6 red cubes, and 14 yellow cubes. All of the cubes are the same size. What is the probability of randomly selecting 1 yellow cube and then 1 green cube from the bag, without replacing the first cube?

Emma has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

• 4/121

• 8/121

• 3/121

• 6/121

Jillian rolled a number cube 360 times. About how many times do you expect her to roll a 2?

• 20 

• 180

• 60 

• 120

A spinner is spun twice. What is the probability of spinning green both times?

• 1/16

• 1/4

• 1/2

• 1/8