Probability
Fundamental Counting Principle
Independent/Dependent Events
Experimental and Theoretical Probability
Permutations
100

What is the probability of rolling a number less than 5 when rolling a dice?

2/3

100

Sally has a choice of 3 types of sandals in 5 colors. How many possible sandals are possible?

15

100

Two number cubes are rolled.  What is the probability that both number cubes will land on a 4?

1/36

100

What is the theoretical probability of rolling an even number on a dice?

1/2

100

Evaluate

P(5,3)

60

200

What is the probability of choosing a spade out of a deck of cards?

1/4

200

Ron goes to a deli for a sandwich.  He has a choice of 4 cheeses, 3 meats, and 4 types of bread.  How many different sandwiches can he choose?

48

200

A dice is rolled and two coins are flipped.  What is the probability of landing on an even number and getting two heads?

1/2x1/2x1/2= 1/8

200

What is the theoretical probability of choosing an Ace from a deck of cards?

1/13

200

Evaluate P(6,6)

720

300

What is the probability of choosing a vowel from the word PROBABILITY?

4/11

300

The bank requires you to make a 5-digit PIN number to access your account.  If you can use any number from 0-9, and the numbers can be used more than once, how many different PIN numbers are possible?

100,000

300

There are 5 red marbles and 5 blue marbles in a bag.  A marble is selected, not replaced, and then a second marble is selected.  What is the P(red, blue)?

(5/10)x(5/9)= 5/18

300

Jason flipped a coin 20 times.  He landed on heads 4 times and tails 16 times.  What is the experimental probability of landing on tails?

4/5, 0.8, 80%

300

Elvis has 20 pieces of artwork.  He can only hang 3 at a time.  How many different ways can he hang his artwork?

6,840

400

Ten cards are labeled with the numbers 1 through 10. Find P(7 or 9).  Write your answer as a fraction, decimal and percent.

1/5 = 0.2 = 20%

400

Jen is taking a 5 question true/false quiz.  How many different ways can she answer the quiz?

2x2x2x2x2 = 32

400

There are 5 red marbles and 5 blue marbles in a bag.  A marble is selected, not replaced, and then a second marble is selected.  What is the P(red, red)?

(5/10)x(4/9)= 4/18

400

Rebecca flipped a coin 20 times.  She landed on heads 8 times.  How does the experimental probability compare to the theoretical probability?

The experimental probability is less than the theoretical probability.  (40% is less than 50%)

400

If there are 8 swimmers in a race, how many ways can the swimmers finish in 1st, 2nd and 3rd place?

336

500

The 6th grade girls at Lake Mary Prep make up 78% of the class.  What is the probability that a student chosen at random from the 6th grade will NOT be a girl? 

22%

500

In order to make a passcode, a student must pick 1 letter from the alphabet and 1 number from 0-9.  How many different passcodes are possible?

26x10= 260

500

There are 5 red marbles and 5 blue marbles in a bag.  A marble is selected, not replaced, and then a second marble is selected.  What is the P(red, red, red)?

(5/10)x(4/9)x(3/8)= 1/12


500

A spinner with 3 equal sections is labeled RED, BLUE and YELLOW.  Carl spins the spinner 40 times, landing on YELLOW 15 times.  What is the theoretical probability of landing on YELLOW?

1/3

500

Two different letters are picked from the word MATH.  What is the probability that H is selected first and A is selected second?

1/12

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