Answer: C. dfrac{4}{25}

Step-by-step explanation:

Given : A spinner that is evenly spaced and numbered from 1 to 10. When it stopped, June spun it again.

Then both events of spinning the spinner is independent of each other.

The numbers greater than 6 on spinner = 7 , 8, 9, 10

Probability of getting a number greater than 6 on one spin =dfrac{text{Numbers greater than 6}}{text{Total numbers}}

=dfrac{4}{10}

Since , both vents are independent , then probability that the spinner stopped on a number greater than 6 on both spins will be :-

dfrac{4}{10}]timesdfrac{4}{10}=dfrac{4}{25}

Hence, the correct answer is Option C. dfrac{4}{25}