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What is the probability that a randomly selected student has a cat?

May 12, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{3}{8}

4 steps

Identify the total number of students.
From the table, the total number of students is 24.
Identify the total number of students who have a cat.
From the table, the total number of students who have a cat is 9.
Calculate the probability.
The probability of a student having a cat is the number of students with a cat divided by the total number of students.
$P(\text{Cat}) = \frac{\text{Number of students with a cat}}{\text{Total number of students}}$ $P(\text{Cat}) = \frac{9}{24}$
Simplify the fraction.
Both the numerator and the denominator are divisible by 3.
$P(\text{Cat}) = \frac{9 \div 3}{24 \div 3} = \frac{3}{8}$
The probability that the student has a cat is $\frac{3}{8}$ .

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