Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently, equals
Explanation for the correct answer:
Finding the probability that no two black balls are placed adjacently
Given that there are seven white balls and three black balls are randomly placed in a row
The number of ways of placing three black balls at ten places is:
There are blank spaces between white balls. And also there is one space before the first ball and another space after the last ball. Hence, the total number of blank spaces is .
This can be done in ways.
Therefore, The probability that no two black balls are placed adjacently
Therefore, the correct answer is option (B).