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In a class of 30 students, 23 have a cat and 6 have a dog. There are 5 students who do not have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat?
Answer:

In a class of $30$ students, $23$ have a cat and $6$ have a dog. There are $5$ students who do not have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat? $\newline$ Answer:

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Probability of independent and dependent events

Full solution

Q. In a class of

30

students,

23

have a cat and

6

have a dog. There are

5

students who do not have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat?

\newline

Answer:

Determine Total Students: Determine the total number of students in the class. $\newline$ The total number of students in the class is given as $30$ .
Determine Cat Owners: Determine the number of students who have a cat. The number of students who have a cat is given as $23$ .
Calculate Probability: Calculate the probability that a randomly chosen student has a cat. $\text{Probability of an event} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ The probability that a randomly chosen student has a cat is $\frac{23}{30}.$
Simplify Fraction: Simplify the fraction (if possible) to express the probability in simplest terms. $\newline$ The fraction $\frac{23}{30}$ cannot be simplified further as $23$ and $30$ have no common factors other than $1$ .

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