Your class of 40 students conducted a poll to determine who plays video games, who watches anime, who does both, and who does neither. Here are the results:

Question

. 20 classmates play video games and watch anime.
.9 classmates play Only video games.
.8 classmates only watch anime

use the class data to fill in the two-way table

Answer 1

| | Video Games | Anime | Both | Neither |
|-----------------------|-------------|-------|------|---------|
| Play Video Games | 9 | 11 | 20 | |
| Watch Anime | | 8 | 20 | 12 |
| Total | 9 | 19 | 40 | 29 |

Answer 2

What are the probabilities for no video game?

Answer 3

To calculate the probability of no video game, we need to look at the total number of students who do not play video games. From the table, we can see that there are 19 students who do not play video games, and the total number of students in the class is 40.

Therefore, the probability of a student not playing video games is:

Probability = Number of students who do not play video games / Total number of students
Probability = 19 / 40
Probability = 0.475

So, the probability for no video game is 47.5%.

Answer 4

What are the probabilities for anime and video games?

Answer 5

To calculate the probability of a student playing both video games and watching anime, we need to look at the total number of students who fall into that category. From the table, we can see that 20 students play video games and watch anime, and the total number of students in the class is 40.

Therefore, the probability of a student playing both video games and watching anime is:

Probability = Number of students who play both / Total number of students
Probability = 20 / 40
Probability = 0.5

So, the probability for a student playing both anime and video games is 50%.

Answer 6

What are the probabilities for anime and no video games?

Answer 7

To calculate the probability of a student watching anime and not playing video games, we need to look at the total number of students who fall into that category. From the table, we can see that there are 8 students who only watch anime and 12 students who neither play video games nor watch anime.

Therefore, the probability of a student watching anime and not playing video games is:

Probability = Number of students who watch anime and no video games / Total number of students
Probability = 8 / 40
Probability = 0.2

So, the probability for a student watching anime and not playing video games is 20%.

Answer 8

What are the probabilities of no video game and no anime?

Answer 9

To calculate the probability of a student not playing video games and not watching anime, we need to look at the total number of students who fall into that category. From the table, we can see that there are 12 students who neither play video games nor watch anime.

Therefore, the probability of a student not playing video games and not watching anime is:

Probability = Number of students who do neither / Total number of students
Probability = 12 / 40
Probability = 0.3

So, the probability for a student not playing video games and not watching anime is 30%.

Answer 10

What are the probabilities of Video games and no anime

Answer 11

To calculate the probability of a student playing video games and not watching anime, we need to find the number of students who play video games only. From the table, we can see that there are 9 students who play only video games.

Therefore, the probability of a student playing video games and not watching anime is:

Probability = Number of students who play video games only / Total number of students
Probability = 9 / 40
Probability = 0.225

So, the probability for a student playing video games and not watching anime is 22.5%.