Probability JVHS

Donald Duck is searching for a different hat to wear. He has 11 blue hats, 4 red hats, 9 yellow hats and 6 orange hats.

Find...

P(yellow) =

P(not red) =

• 3/10

  8/15

• 8/15

  3/10

• 7/10

  2/15

• 2/15

  7/10

Tags

CCSS.7.SP.C.7B

A bag of warheads contains the following quantities:

23 lemon, 20 watermelon, 25 cherry, 18 raspberry and 14 apple

Find P(raspberry or watermelon).

• 31/50

• 19/50

• 10/23

• 17/50

Tags

CCSS.HSS.CP.B.7

Six cars featured in movies/tv shows are available to be shown at Comic Con. However, the arena only has room for four cars. Additionally, each car's popularity determines the amount of security needed for each vehicle.

How many different ways can these famous cars be displayed at Comic Con? (Hint: Fundamental Counting Principle)

• 6

• 360

• 250

• 100

Falcon Pizza can customize any pizza based on 1 crust, 1 meat and 1 cheese. How many different types of pizzas can be made? (None ARE considered options for meat and cheese).

• 50

• 12

• 30

• 60

Panera Bread is adding a customizable soup to their menu this fall. The first five spice ingredients are free. What is the correct notation & number of soups (with 5 spices) you can make?

• _nC_r(20, 5) = 1,860,480

• _nP_r(20, 5) = 1,860,480

• _nC_r(20, 5) = 15,504

• _nP_r(20, 5) = 15,504

Magic Kingdom has 30 different rides. If you have a FastPass (RIP, FastPasses!) and can ride 25 different rides in one day. How many ways can this be done?

• _nP_r (30,25) = 2.2104404984×10³⁰

• _nC_r (30,25) = 2.2104404984×10³⁰

• _nP_r (30,25) = 142,506

• _nC_r (30,25) = 142,506

The Houston Astros have 14 position players. Assuming that all of these players can play ANY position, how many different starting lineups are possible? (Hint: Batting orders are strategic. Kyle Tucker as the "clean up" fourth hitter is different than as if he were to hit last.)

• _nC_r(14,9) = 726,485,760

• _nP_r(14,9) = 726,485,760

• _nC_r(14,9) = 2002

• _nP_r(14,9) = 2002

The United States' women's 🏀 team hopes to win 🥇 at the Paris Summer Olympics again. If only 12 national teams qualify for the Olympics, then how many ways can 🥇,🥈 and🥉 be awarded?

• _nC_r(12,3) = 1320

• _nP_r(12,3) = 1320

• _nP_r(12,3) = 220

• _nC_r(12,3) = 220

32 🏈 teams are hoping to improve via the annual NFL draft. 250 players are eligible for the draft. How many different ways can the first three picks be chosen?

• _nC_r(250,3) = 2,573,000

• _nP_r(250,3) = 2,573,000

• _nC_r(250,3) = 15,438,000

• _nP_r(250,3) = 15,438,000

Jennifer Hudson is one of nineteen "EGOT" winners (Emmy, Grammy, Oscar, Tony awards). She just bought a new shelf to display her four trophies. How many different ways can her trophies be arranged?

• 4

• 24

• 16

• 40