Answer:
[tex]\bf\implies \textbf{Required Probability = }\frac{1}{3}[/tex]
Step-by-step explanation:
Number of cats at veterinarian office = 2
Number of dogs at veterinarian office = 4
Total number of pets at veterinarian office = 2 + 4 = 6
Now, we need to find probability that 2 cats are seen in a row
⇒ No dog is seen between two cats
So, to find the required probability :
No. of favorable outcomes = 2
Total number of outcomes = 6
[tex]\text{Hence, Probability = }\frac{\text{No. of favorable outcomes}}{\text{Total no. of otcomes}}\\\\\implies Probability = \frac{2}{6}\\\\\bf\implies \textbf{Required Probability = }\frac{1}{3}[/tex]