40 students were asked about the kinds of pets they owned and the results are shown in the venn diagram…

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

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

Answer

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