Permutations and Combinations to Determine Probabilities of Compound Events

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

• 5/27

• 1/6

• 2/9

• 25/54

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

• 3/8

• 7/8

• 1/8

• 1/2

What is the probability of rolling a 3 and a 2 on a pair of dice?

• 1/3

• 1/18

• 1/6

• 1/36

You put 5 names into a hat, they are: John, Jill, Jack, Justin, and Jeremy. What is the probability of you pulling Jack and then Jill?

• 2/5

• 1/25

• 1/20

• 1/5

A Permutation is a way in which a set or number of things can be ordered or arranged, where...

• Order matters

• Order doesn't matter

You are at Subway. You have yet to choose what topping you want on your sandwich. You are choosing 6 different toppings out of all 12 toppings....this is a

• Permutation

• Combination

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?

• 479,001,600

• 720

• 924

• 665,280

If five digits 1, 2, 3, 4, 5 are being given and a three digit code has to be made, then how many such codes can be formed (if repetition of digits is allowed).

• 25

• 98

• 60

• 125

If three letters are to be chosen from A, B, C, D and E such that repetition is not allowed then in how many ways it can be done?

• 60

• 45

• 200

• 175

Does order matter in combination?

• Yes
• No