Counting Principle and Probability

There is one each of the following colors of jelly-beans in a hat: pink, blue, yellow, red, and black. What is the probability that you select a blue, return the marble and select a pink?

• 1/25

• 2/25

• 1/5

• 1/20

Heather must choose a PIN code for her ATM card.  The pin is a 4 digit code.  How many possible PIN numbers are there?

• 10,000

• More than 1 million

• 4

• None of these

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?

• 1

• 2

• 3

• 93

If you roll two dice, how many possible outcomes?

• 360

• 1

• 36

• 12

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.  P(green, black)

• 3/20

• 1/4

• 3/31

• 2/27

Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors. 

• 1/12

• 2/9

• 3/7

• 7/19

Lisa flipped the same coin 3 times. What is the probability she obtained all tails?

• 1/2

• 1/4

• 1/16

• 1/8

A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.

• 1/6

• 1/10

• 0

• 1/12

The spinner is spun two times.  Determine the probability of landing on red the first spin and on green the second spin .

• 1/9

• 1/10

• 0

• 1/12

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?

• 17/26

• 1/8

• 5/13

• 1/6