Discussion
The probability of 1-point crossover, with crossover rate Pc, to break the schema of length 'l' given by :
Answer: B
The probability is \(\dfrac{P_c \cdot D(H)}{l - 1}\).
In Holland's schema theorem a chromosome of length l has l - 1 possible cut points for one-point crossover. A schema H with defining length D(H), the distance between its first and last fixed positions, is broken when the cut falls between those positions, which happens at D(H) of the l - 1 points. Crossover takes place with probability \(P_c\), so
\[ P_{break} = P_c \cdot \frac{D(H)}{l - 1} \]
Replacing D(H) by a second \(P_c\), or dividing by l instead of the l - 1 cut points, gives the wrong options.
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