Probability of Two Independent Events

Tom will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Tome will select a treat, replace it, and then select a second treat.

• Independent

• Dependent

What is the probability when Tom will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Tom will select a 1 lollipop, replace it, and then select a 1 gum ball.

• 1/24

• 1/90

• 6/25

• 1/10

Two fair coins are flipped at the same time. What is the probability that both with display heads?

• 1/2

• 1/4

• 2%

• 1%

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

• The probability is 3/11

• The probability is 1/11

• The probability is 3/132

• The probability is 3/12

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9

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 times the coin is a nickel?

• 6/13

• 2/7

• 5/16

• 3/19

• 36/169

Ricardo has the spinner pictured here and a bag of marbles filled with 2 reds, 3 greens, and 3 blues. What is the probability that Ricardo spins red on the spinner then picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number five or greater if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

What is the probability that Tom will get a lollipop, replace it, then draw a gumball? The treat bag containing 6 lollipops and 4 gum balls

• 1/24

• 1/90

• 6/25

• 1/10

What is the probability of rolling a die and landing on a 4, and then rolling the die again and landing on any even number?

• 1 ⁄ 6

• 1 ⁄ 8

• 1 ⁄ 2

• 1 ⁄ 12