Given,
There are a total of 25 counters
15 of the counters are black.
10 of the counters are white
Hasan calculates the probability of picking two counters to be (2/5)^2 = 4/25
For this probability to be true, Hasan has made the assumption that he would pick two white counters consecutively.
Probability of picking two white counters consecutively
= (10/25) * (10/25)
= (10/25)^2
= (2/5)^2
= 4/25