The cards of a standard 52-card deck are dealt out in a circle. What is the expected number of pairs of adjacent cards which are both black? Express your answer as a common fraction.

 Oct 24, 2018

For each pair of cards, the probability that they are both black is \(\frac{26}{52} * \frac{25}{51} = \frac{25}{102}\), so since there are 52 pairs in the circle, the expected number of pairs which are both black is \(\frac{25}{102} * 52 = \frac{650}{51}\).


Our answer should be \(\boxed{\frac{650}{51}}\).

 Oct 24, 2018

15 Online Users


New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.