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 and C), the probability that a student in the class has a dog and a cat?

A) 2/3
B) 3/5
C) 1/2
D) 5/6

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Answer:

The Answer Above is Incorrect. I know for a fact it's wrong because I tried it.

The Answer is,

2/3

3/5

1/2

23/30

Step-by-step explanation

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All I can say is that this is the Answer on Khan Acedemy.

The probability that a student in the class has a dog and a cat is; Choice C; 1/2.

What is the probability P(D and C)?

According to the task content;

  • The total number of students in the class is; 300.
  • The number of students which have a cat and a dog is 150.

On this note, the probability, P(D and C) is given as;

P(D and C) = 150/300 = 1/2.

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