Professor Rosencrantz flips a fair coin n times, and so does Professor Guildenstern Show that the probability that they get the same number of heads is ( 2n n ) 4 n For Professor Rosencrantz, call a head a success for Professor Guildenstern, call a tail a success ) Use your argument to verify the i...

The probability that Professor Rosen c rant z and Professor Guild en st ern get the same numb ...

Professor Rosencrantz flips a fair coin n times, and so does Professor Guildenstern. Show that the probability

Question:

Professor Rosencrantz flips a fair coin n times, and so does Professor Guildenstern. Show that the probability that they get the same number of heads is (²ⁿ_n)/4ⁿ. ?For Professor Rosencrantz, call a head a success; for Professor Guildenstern, call a tail a success.) Use your argument to verify the identity