Question

300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300

students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer
• each of the following questions.
Let D be the event that a randomly selected student has a dog and C be the event that a randomly
selected student has a cat.
What is P(D), the probability that a student in the class has a dog?
What is P(C), the probability that a student in the class has a cat?
What is P(D and C), the probability that a student in the class has a dog and a cat?
What is P(D or C), the probability that a student in the class has a dog or a cat?

Answer 1

Explanation:

What is P(D), the probability that a student in the class has a dog?

D=66%

What is P(C), the probability that a student in the class has a cat?

C=60%

What is P(D and C), the probability that a student in the class has a dog and a cat?

DC=50%