Q: Daichi is making a quilt for their grandma. They must choose one color (4 options), one size (2 options), one fabric (2 options), and one flower (5 options). How many quilt designs are possible?

$$4 \times 2 \times 2 \times 5 = 80$$

Q: At the beach, what is the probability of randomly selecting a red towel, replacing it, then selecting a green towel?

$$\frac{5}{34} \times \frac{6}{34}$$

Q: At the beach, what is the probability of randomly selecting 3 green towels without replacement?

$$\frac{6}{34} \times \frac{5}{33} \times \frac{4}{32}$$

Q: At the beach, what is the probability of randomly selecting a blue towel, then a blue towel, then a white towel without replacement?

$$\frac{2}{34} \times \frac{1}{33} \times \frac{12}{32}$$

Question 1

You roll two 6-sided dice. What is the probability of getting a sum of 5 or 6?

Accepted Answer

$$\frac{8}{36}$$

Question 2

A survey shows 18 people prefer milk, 29 prefer coffee, and 13 prefer juice for breakfast. If one person is selected at random, what is the probability they prefer juice or milk?

Accepted Answer

$$\frac{31}{60}$$

Question 3

A coin is tossed and a card is drawn from a standard 52-card deck. What is the probability of landing on tails and then getting a red card?

Accepted Answer

$$\frac{1}{4}$$

Question 4

If 89% of households have at least one television set and 4 households are selected, what is the probability that at least one household has a television set?

Accepted Answer

$$1 - (1 - 0.89)^4$

Question 5

A candy store allows customers to select 3 different candies from 13 varieties. How many possible selections can be made?

Accepted Answer

$$\binom{13}{3}$$

Question 6

Daichi is making a quilt for their grandma. They must choose one color (4 options), one size (2 options), one fabric (2 options), and one flower (5 options). How many quilt designs are possible?

Accepted Answer

$$4 	imes 2 	imes 2 	imes 5 = 80$$

Question 7

A department has 10 people. How many ways can a three-person task force be selected if order does NOT matter?

Accepted Answer

$$\binom{10}{3}$$

Question 8

A department has 10 people. How many ways can a three-person task force be selected if each person is assigned a different task (order DOES matter)?

Accepted Answer

$$P(10,3) = \frac{10!}{(10-3)!}$$

Question 9

How many ways are there for 9 runners to finish in 1st, 2nd, 3rd, and 4th place?

Accepted Answer

$$P(9,4) = \frac{9!}{(9-4)!}$$

Question 10

At the beach, there are 9 yellow towels, 5 red towels, 2 blue towels, 6 green towels, and 12 white towels. What is the probability of randomly selecting a green towel?

Accepted Answer

$$\frac{6}{34}$$

Question 11

At the beach, what is the probability of randomly selecting a towel that is NOT red?

Accepted Answer

$$\frac{29}{34}$$

Question 12

At the beach, what is the probability of randomly selecting a red towel, replacing it, then selecting a green towel?

Accepted Answer

$$\frac{5}{34} 	imes \frac{6}{34}$$

Question 13

At the beach, what is the probability of randomly selecting 3 green towels without replacement?

Accepted Answer

$$\frac{6}{34} 	imes \frac{5}{33} 	imes \frac{4}{32}$$

Question 14

At the beach, what is the probability of randomly selecting a blue towel, then a blue towel, then a white towel without replacement?

Accepted Answer

$$\frac{2}{34} 	imes \frac{1}{33} 	imes \frac{12}{32}$$

Question 15

Suppose one card is drawn at random from a standard 52-card deck. What is the probability that the card drawn is a black card or a face card?

Accepted Answer

$$\frac{32}{52}$$

Question 16

Dallace won 5 extra tickets to Disneyland and has 25 people to choose from. How many ways can Dallace select the 5 people if order does NOT matter?

Accepted Answer

$$\binom{25}{5}$$

Question 17

From the transfer student table, what is the probability of a student paying their tuition with Mixed Sources?

Accepted Answer

$$\frac{14}{75}$$

Question 18

From the transfer student table, what is the probability of a student transferring to CSULB or paying for tuition with grants?

Accepted Answer

$$\frac{40 + 32 - 20}{75}$$

Question 19

From the transfer student table, what is the probability of a student transferring to USC given that they’re paying for their tuition with student loans?

Accepted Answer

$$\frac{6}{29}$$

Question 20

Which formula is used to find the probability of 'A or B' for two events A and B that are NOT mutually exclusive?

Accepted Answer

$$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$

Statistics Chapter 4 Activity: Step-by-Step Study Guidance

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드