To calculate the probability that a student chosen randomly from the class has a cat and a dog, we need to find the number of students that have both a cat and a dog and divide it by the total number of students in the class.
From the data table:
- Number of students that have both a cat and a dog = 2
- Total number of students in the class = 2 + 3 + 8 + 10 = 23
Therefore, the probability that a student chosen randomly from the class has a cat and a dog is:
P(has a cat and a dog) = Number of students that have both a cat and a dog / Total number of students
P(has a cat and a dog) = 2 / 23
P(has a cat and a dog) = 2/23
Therefore, the probability that a student chosen randomly from the class has a cat and a dog is 2/23.
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat and a dog?
Has a cat Does not have a cat
Has a dog 2 3
Does not have a dog 8 10
3 answers
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play a sport?
Plays an instrument Does not play an instrument
Plays a sport 5 3
Does not play a sport 2 16
Plays an instrument Does not play an instrument
Plays a sport 5 3
Does not play a sport 2 16
To calculate the probability that a student chosen randomly from the class does not play a sport, we need to find the number of students that do not play a sport and divide it by the total number of students in the class.
From the data table:
- Number of students that do not play a sport = 16
- Total number of students in the class = 5 + 3 + 2 + 16 = 26
Therefore, the probability that a student chosen randomly from the class does not play a sport is:
P(does not play a sport) = Number of students that do not play a sport / Total number of students
P(does not play a sport) = 16 / 26
P(does not play a sport) = 16/26
P(does not play a sport) = 0.6154
Therefore, the probability that a student chosen randomly from the class does not play a sport is approximately 0.6154 or 61.54%.
From the data table:
- Number of students that do not play a sport = 16
- Total number of students in the class = 5 + 3 + 2 + 16 = 26
Therefore, the probability that a student chosen randomly from the class does not play a sport is:
P(does not play a sport) = Number of students that do not play a sport / Total number of students
P(does not play a sport) = 16 / 26
P(does not play a sport) = 16/26
P(does not play a sport) = 0.6154
Therefore, the probability that a student chosen randomly from the class does not play a sport is approximately 0.6154 or 61.54%.
1 answer