Probability quiz 3.3-3.5

(FCP) You are making a password that is 5 characters long. The first three characters are letters (A-Z), the last 2 characters are digits (0-9). You are allowed to repeat. How many possible passwords are there?

• 810,392

• 67,000

• 1,757,600

• 402

(FCP) You are making a password that is 5 characters long. The first three characters are letters (A-Z), the last 2 characters are digits (0-9). You are NOT allowed to repeat. How many possible passwords are there?

• 300,420

• 984,203

• 60

• 1,404,000

(Permutation) There are 20 cakes in a competition. How many ways could the top 4 places be awarded?

• 58,140

• 140,230

• 70,432

• 4,403

(Permutation): In a group of 14 racers, how many ways could the top 2 finish?

• 504

• 182

• 4,032

• 50

(Combination). There are 8 puppies, how many ways could I choose a group of 3 to bring home?
If I put my answer in the calculator like this, what am I doing wrong? What common mistake am I making?

 $\frac{8!}{5!3!}$  

(Combination): There are 10 books on a shelf, how many ways could you grab a group of 4?

• 120,960

• 150

• 34,023

• 210

(The AND rule). There are 12 cards in the deck. 3 of them are hearts, 5 of them are spades, and 4 of them are diamonds. If I pick three cards, putting them back in the deck each time that I choose, then what are the odds that I get a Heart, and then a spade, and then another heart?

• 9/48

• 1/4

• 5/192

• 20/193

(The AND rule). There are 12 cards in the deck. 3 of them are hearts, 5 of them are spades, and 4 of them are diamonds. If I pick three cards, and I DO NOT REPLACE THEM THIS TIME, then what are the odds that I get a Heart, and then a spade, and then another heart?

• 5/98

• 3/42

• 1/44

• 1/13

(The OR Rule - Mutually exclusive): There are 18 cards in the deck. 7 of them are spades, 2 are hearts, and 9 are clubs. If I pick a card, what are the odds that I get a heart or a club?

• 11/23

• 1/18

• 1/9

• 11/18

Tags

CCSS.HSS.CP.B.7

(The OR Rule - not mutually exclusive) In a group of 20 people, 7 people own a dog, 11 people own a cat, and 4 of them own both. If you pick a random person, what are the odds that they own a cat or a dog?

• .7

• 1.2

• .4

• .56

Tags

CCSS.HSS.CP.B.7