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Twin Probabilities Problem

Puzzling Asked by J. Antonio Perez on January 15, 2021

1 in 8 sets of twins are sets of identical twins. While talking to Jessica, you learn that she has a twin named Emily. What’s the probability that Emily and Jessica are identical twins?

The answer isn’t 1/8th.

2 Answers

Approximately

because

Why

Reality is a bit more complicated because

Answered by Gareth McCaughan on January 15, 2021

Assuming that Jessica and Emily are both girls, the probability that we have identical twins with the same gender is:

The probability that we have fraternal twins with the same gender is:

The probability twins with the same gender are identical is therefore:

Answered by ffao on January 15, 2021

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