Probability and Replacement

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?

• 5/24

• 11/30

• 2/75

• 7/60

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?

Directions: Select the correct answer(s). Nelson is learning the difference between independent and dependent probability. Select all scenarios that show an example of dependent probability.

• Picking a piece of candy from a bag, eating it, then picking a second piece.

• Drawing a card from a deck, replacing it, and then drawing another card.

• Spinning a spinner twice.

• Selecting two marbles from a bag without replacement.

• Rolling a number cube five times.

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

What is the probability of spinning this wheel twice and landing on the green section both times?

TRUE OR FALSE?! Independent probability happens when the probability of the first event does not affect the probability of the second event.

• True

• False

A regular 6-sided number cube is rolled twice - what is the probability that it lands on a number that is even on the first roll, the a number that is NOT a 6 on the second roll?

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

An urn contains 6 purple marbles and 4 pink marbles. A marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that both marbles are purple?

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?