A moving company has a truck filled for deliveries to eight different sites. If the order...

A moving company has a truck filled for deliveries to eight different sites. If the order of the deliveries is randomly? selected, what is the probability that it is the shortest?route?

Assuming boys and girls are equally? likely, find the probability of a couple having a baby girl when their sixth child is? born, given that the first five children were all girls.

Solutions

Expert Solution

1. Number of routes possible with 8 different sites to be covered = 8!

Only one among the 8! routes is the shortest route

P(selecting the shortest route) = 1/8!

= 1/40,320

= 0.0000248

2. P(a couple having a baby girl when their sixth child is born, given that the first five children were all girls) = 0.5

(The outcome, a child being a boy or a girl, is independent of the previous outcomes. So, on each childbirth, irrespective of what child they previously had, the probability of having a girl or a boy is 1/2)

orchestra answered 1 year ago

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