It depends. Normally me because normally the kids aren't sick in the morning, it's once they are where they need to be. I work 5 minutes from my house and my husband works 2 hours from our house.
No joke one day I got a call on my cell that my oldest son was at school with pink eye maybe 10 minutes after school started. I hung up and used my desk phone to call the doctor's office and while I was on that phone my daycare provider called that my younger son had a 102 fever. Wow! I had to pick them both up and we went straight to the doctor. The pink eye was cleared up with one day of staying at home, whereas the little one was sick for the rest of the week. Hubby and I took turns.
He can work from home more easily than I can right now, so that makes a big difference, but we can both do it.
When we know one of us needs to stay home, we try to discuss the work needs each of us have the next day and determine who needs to be at the office more. If we both need to be at the office, then one of us just has to sacrifice. Me, as the woman and mother, normally have an easier time getting out of the must attend meetings.