# What are the odds of having all 4 of your children (no multiples) on the same day of the week? [duplicate]

(retrying my phrasing)

What are the odds of having 4 (and only 4) naturally conceived, naturally birthed, singleton children (with the same and only mate) on a given day of the week (ie, Wednesday)?

Equations with explanations appreciated. Thanks

## marked as duplicate by gung♦Aug 11 '18 at 16:22

• If day of week that kids are born on is really independent (across your kids) and identically distributed with probability 1/7 (none of which are likely true), then the probability that all 4 kids are born on Wed. is $(1/7)^4$, which can be viewed as the probability of 4 successes in a Binomial Distribution with 4 trials, each of which has probability 1/7 of success, defined as "kid born on Wednesday". – Mark L. Stone Apr 16 '16 at 23:31