To calculate probabilities in pedigrees of X-linked conditions, you need to consider the inheritance pattern of the X chromosome. Males inherit their X chromosome from their mother and their Y chromosome from their father, while females inherit one X chromosome from each parent. By analyzing the family tree and identifying carriers and affected individuals, you can determine the likelihood of passing on the X-linked condition to future generations. This involves understanding the chances of a carrier mother passing on the affected X chromosome to her children, and the different probabilities for males and females inheriting the condition.