A and B play a game.
First A chooses a sequence of three tosses of a coin and shares it with B; then B chooses a different sequence of three tosses and shares it with A. Then they throw a fair coin repeatedly until one sequence or the other shows up as three consecutive tosses.
For instance, A might choose (head, tail, head); then B might choose (tail, head, tail). If the sequence of tosses is (head, tail, tail, head, tail), B would win.
If both players play rationally (make their best possible choice), what is the probability that A wins?
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A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them wins a prize. The probability that they will not win a prize in a single trial is. Education Minister live session on 03 Dec 2020 with students and parents regarding upcoming competitive & board examinations.
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