Probability of Independent Events Counting Tree

A diagram used to show the total number of possible outcomes in a probability event

• mutually exclusive event

• outcomes

• tree diagram

• odds

The outcome of one event does not influence the outcome of the other event

• independent event

• tree diagram

• simple event

• odds

The outcome of one event does not affect the outcome of the second event.

• Dependent event

• Compound events

• A sample space

• Independent event

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

Marietta picks a candle from the bunch, replaces it, and then selects one again. What are the chances that she selects a green both times?

• 1/144

• 1/12

• 1/36

• 2/24

• 2/12

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

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

A tool to help calculate & list the outcomes of a compound event is called ______________.

• Multiplication Counting Principle

• Compound events

• Tree Diagram

• Independent event