lily pads numbered from 0 to 11 lie in a row on a pond. fiona the frog sits on pad 0, a morsel of food sits on pad 10, and predators sit on pads 3 and 6. at each unit of time the frog jumps either to the next higher numbered pad or to the pad after that, each with probability 12, independently from previous jumps. what is the probability that fiona skips over pads 3 and 6 and lands on pad 10?

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02-11-2022
Mathematics

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lily pads numbered from 0 to 11 lie in a row on a pond. fiona the frog sits on pad 0, a morsel of food sits on pad 10, and predators sit on pads 3 and 6. at each unit of time the frog jumps either to the next higher numbered pad or to the pad after that, each with probability 12, independently from previous jumps. what is the probability that fiona skips over pads 3 and 6 and lands on pad 10?

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