Probability

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 

• 64
• 14
• 24,024
• 2184

Tags

CCSS.HSS.CP.B.9

In regards to permutations and combinations, which of the following two statements are true?

• Order is important for permutations.

• Order is not important for permutations.

• Order is important for combinations.

• Order is not important for combinations.

A team of 8 basketball players needs to choose a captain and co-captain. How many possible outcomes are there?

• 64

• 56

• 15

• 40,320

A group of 25 people are going to run a race. The top 8 finishers advance to the finals. How many possible outcomes are there?

• 200

• 4.3609 x 10¹⁰

• 0

• 1,081,575

Which two statements about independent and dependent events are true?

• Two events are independent if the occurrence of one affects the probability of the occurrence of the other.

• Two events are independent if the occurrence of one does not affect the probability of the occurrence of the other.

• Two events are dependent if the occurrence of one affects the probability of the occurrence of the other.

• Two events are dependent if the occurrence of one does not affect the probability of the occurrence of the other.

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5
• 1/21
• 4/25
• 1/7

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?

• 2/52
• 1
• 13/52
• 1/52

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

You decide to flip a fair coin 6 times. The first 5 flips all turn up tails. What is the probability that the 6th flip will be a heads?

• 1/64

• It's gotta be about 80-90%. A heads is due.

• 1/2

• 1/6