Simple Probability of Independent Events

The chance that an event will happen.  A ratio of chance/all chances.

• odds

• probability

• outcomes

• tree diagram

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

• dependent event

• simple event

• independent event

• compound event

One outcome or collection of outcomes

• simple event

• experimental probability

• theoretical probability

• fundamental counting principle

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

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

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

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

Geraldo has a deck of cards and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards and then pulls a blue marble out of the bag?

• 3 ⁄ 15

• 2 ⁄ 65

• 7 ⁄ 52

• 14 ⁄ 260

Mackenzie chooses one candle, returns it to the bunch, and then chooses another candle. What is the probability Mackenzie selects a polka dot candle both times?

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