>So, can we ask her to take care of our son on Friday, since this holiday was not listed and it supposed to be a normal working day? We're just not sure, if we can ask for it or we should pay for this day.
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>When our son (Mark, BTW) was sick 2 days, we paid for these days, since it was indicated in our Contract.

You certainly have a right for a make up day of child care. I would negotiate a day that is mutually agreeable to both of you. If no day can be agreed upon, you have a reight to a refund for that day.