# Given a family with three children, find the probability of the event. The youngest is a girl​, given that there are at least twogirls. The probability that theyoungest is a girl is​, given that there are at least two girls is?

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Given a family with three children, find the probability of the event.

The youngest is a girl​, given that there are at least two
girls.

The probability that the
youngest is a girl is​, given that there are at least two girls is?

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Step 1

To calculate the  required conditional probability

Step 2

Let X, Y, Z be the three children arranged as the oldest, middle and the youngest.  The sample space  S for "at least two girls (G)" is described .(B represents Boy)

Step 3

The sample space consists of 4 events. The youngest being a girl...

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