Probability involving Permutations and Combinations

Billy has 54 marbles. 10 are blue, 9 are green, 25 are red, and 10 are yellow. What is the probability of drawing out a yellow marble?

• 54/54
• 9/54
• 12/54
• 10/54

Tags

CCSS.7.SP.C.7B

What is the probability of landing on the blue or red parts of the spinner? 

• 3/8
• 7/8
• 1/8
• 1/2

You are at Subway. You have yet to choose what topping you want on your sandwich. How many different ways can you have 6 different toppings out of all 12 toppings? 

• 2,019
• 69
• 1,989
• 665,280

Tags

CCSS.HSS.CP.B.9

If five digits 1, 2, 3, 4, 5 are being given and a three digit code has to be made from it if the repetition of digits is allowed then  what is the probability of randomly guessing the code?

• 1/25
• 1/98
• 1/350
• 1/125

If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then what is the probability of randomly guessing the password?

• 1/60
• 1/45
• 1/200
• 1/175

Tags

CCSS.HSS.CP.B.9

Does order matter in combination?

• Yes
• No

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 11,424,400
• 10,967,424
• 9000
• 90,000

Tags

CCSS.HSS.CP.B.9

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

What is the probability of guessing a 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 1/11,424,400
• 1/10,967,424
• 1/9000
• 1/90,000

Tags

CCSS.HSS.CP.B.9

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!