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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Probability

Grade: 1300-a Lesson: S4-L3

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?	A) \$ 1/14 \$ B) \$ 2/14 \$ C) \$ 12/14 \$ D) \$ 13/14 \$
2	The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue? $2$	A) \$ 18/40 \$ B) \$ 10/40 \$ C) \$ 30/40 \$ D) \$ 22/40 \$
3	The table summarizes the distribution of color and shape for 100 tiles of equal area. If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.) $3$	A) \$9/10\$ B) \$7/10\$ C) \$3/10\$ D) \$5/7\$
4	The number of penguins in a zoo exhibit, sorted by gender and type of penguin, is shown in the table above. Which type of penguin has a female population that is the closest to being \$1/3\$ of the total female penguin population in the exhibit? $4$	A) Macaroni B) Gentoo C) Emperor D) Chinstrap
5	Suppose you have a standard deck of 52 playing cards, and you randomly draw one card from the deck. What is the probability of drawing a face card (jack, queen, or king)?	A) \$7/16\$ B) \$3/16\$ C) \$5/13\$ D) \$3/13\$
6	Suppose you have a bag containing 5 red balls, 3 green balls, and 4 blue balls. If one ball is randomly selected from the bag, what is the probability that it is either red or green?	A) \$11/9\$ B) \$4/9\$ C) \$2/3\$ D) \$8/3\$
7	In a bag, there are 8 red, 5 white, 27 blue, and 30 yellow cubes. If one of these cubes is selected at random, what is the probability of selecting a cube that is neither blue nor yellow?	A) \$17/70\$ B) \$13/70\$ C) \$16/60\$ D) \$23/60\$
8	In a classroom, there are a total of 60 students. Each student is either studying mathematics, physics, or chemistry. If the probability of selecting a student studying mathematics is 0.4 and the probability of selecting a student studying physics is 0.3, what is the probability of selecting a student studying chemistry?	A) 18 B) 13 C) 22 D) 29
9	In a class, students are randomly assigned to one of three projects: Project A, Project B, or Project C. If 40% of the students are assigned to Project A and 25% are assigned to Project B, what percentage of students are assigned to Project C?	A) 42% B) 35% C) 31% D) 39%
10	Let’s make it more challenging by considering a scenario where the daily registration rate changes over time. Let’s say the daily registration rate follows a pattern where it starts at 1,200 on the first day and increases by 100 each subsequent day. To find out how many accounts are registered in the first 5 days, we need to sum up the registrations for each day. This involves finding the sum of an arithmetic sequence.	A) 7200 B) 7100 C) 7000 D) 6900

Problem Id

Problem

Options

Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?

A) \$ 1/14 \$

B) \$ 2/14 \$

C) \$ 12/14 \$

D) \$ 13/14 \$

The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?

$2$

A) \$ 18/40 \$

B) \$ 10/40 \$

C) \$ 30/40 \$

D) \$ 22/40 \$

The table summarizes the distribution of color and shape for 100 tiles of equal area.

If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)

$3$

A) \$9/10\$

B) \$7/10\$

C) \$3/10\$

D) \$5/7\$

The number of penguins in a zoo exhibit, sorted by gender and type of penguin, is shown in the table above. Which type of penguin has a female population that is the closest to being \$1/3\$ of the total female penguin population in the exhibit?

$4$

A) Macaroni

B) Gentoo

C) Emperor

D) Chinstrap

Suppose you have a standard deck of 52 playing cards, and you randomly draw one card from the deck. What is the probability of drawing a face card (jack, queen, or king)?

A) \$7/16\$

B) \$3/16\$

C) \$5/13\$

D) \$3/13\$

Suppose you have a bag containing 5 red balls, 3 green balls, and 4 blue balls. If one ball is randomly selected from the bag, what is the probability that it is either red or green?

A) \$11/9\$

B) \$4/9\$

C) \$2/3\$

D) \$8/3\$

In a bag, there are 8 red, 5 white, 27 blue, and 30 yellow cubes. If one of these cubes is selected at random, what is the probability of selecting a cube that is neither blue nor yellow?

A) \$17/70\$

B) \$13/70\$

C) \$16/60\$

D) \$23/60\$

In a classroom, there are a total of 60 students. Each student is either studying mathematics, physics, or chemistry. If the probability of selecting a student studying mathematics is 0.4 and the probability of selecting a student studying physics is 0.3, what is the probability of selecting a student studying chemistry?

A) 18

B) 13

C) 22

D) 29

In a class, students are randomly assigned to one of three projects: Project A, Project B, or Project C. If 40% of the students are assigned to Project A and 25% are assigned to Project B, what percentage of students are assigned to Project C?

A) 42%

B) 35%

C) 31%

D) 39%

Let’s make it more challenging by considering a scenario where the daily registration rate changes over time. Let’s say the daily registration rate follows a pattern where it starts at 1,200 on the first day and increases by 100 each subsequent day.
To find out how many accounts are registered in the first 5 days, we need to sum up the registrations for each day. This involves finding the sum of an arithmetic sequence.

A) 7200

B) 7100

C) 7000

D) 6900