Probability P(D and C) is (C) 1/2.
<h3>
What is probability?</h3>
- Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
- The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.
To find 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 who 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
Therefore, probability P(D and C) is (C) 1/2.
Know more about probability here:
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The correct question is given below:
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
