The question is difficult to answer without detailed analysis.
In the UK, between 1979 and 2014 (after adjusting for public holidays), Sunday had the lowest number of births of any day of the week, followed by Saturday. This is partly a reflection of lower staffing of maternity services at weekends: births are not normally induced over weekends, for example. An approximate estimate for Sat and Sun is 0.26 compared to 0.29 which might be expected if births were distributed evenly across days of the week.
The pattern in other countries may be different: particularly where the weekend is not Sat-Sun.
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It depends on where in the world you are. In many countries maternity teams are less keen to work weekends. This is partly because there are fewer ancillary support teams, the maternity teams themselves want a home life and so on. So, to some extent, weekend births are rarer than would be expected purely by chance.
This year (2016), it is 0.2842, approx.
February 3, will next fall on a Saturday in 2018.
It is not possible to answer the question since births are not uniformly distributed over the year. Furthermore, calendar months are not the same length, either.