Question

40 students were asked about the kinds of pets they owned and the results are shown in the venn diagram below. a student was picked at random. what is the probability that the student does not own dogs? e = 40 students birds 10 10 1 cats 2 6 2 9 dogs a) 21% b) 21 c) 21/40 d) 19/40

Explanation:

Step1: Find number of students who own dogs

Add the numbers in the "Dogs" circle: $9 + 6+2 + 2=19$.

Step2: Find number of students who don't own dogs

Total students are 40. So number of students who don't own dogs is $40 - 19 = 21$.

Step3: Calculate the probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So probability that a student does not own dogs is $\frac{21}{40}$.

Answer:

C. 21/40