A screen saver on a computer shows two beads are jumping right and left along the x-axis with equal probability. They jump when a counter clock increased by one. It is possible for them to occupy the same position. They start out together from a point on the x-axis at the counter reading 0. When the counter reading is N, what is the probability that both the beads occupy the same position? It is understood that they make their steps simultaneously

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The probability of one beads jumping right and left the probability of other beads jumping ... View the full answer