suppose a ladybug is walking randomly along the rim of a very large disc. every second, it either moves forward one unit along the rim with probability 12, moves backwards one unit with probability 16, or stays still with probability 13. suppose the ladybug is at position 0, 1, or 2 at time t with probabilities 14, 14, and 12. what is the probability that the ladybug will be at position 1 at time t 1?

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06-12-2022
Mathematics

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suppose a ladybug is walking randomly along the rim of a very large disc. every second, it either moves forward one unit along the rim with probability 12, moves backwards one unit with probability 16, or stays still with probability 13. suppose the ladybug is at position 0, 1, or 2 at time t with probabilities 14, 14, and 12. what is the probability that the ladybug will be at position 1 at time t 1?

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Tutorconsortium422 Tutorconsortium422 · Answer 1 · 2022-12-17T14:45:17-05:00

The probability that the ladybug will be at position 1 at time t+1 is ((1/2)*(12/50) + (1/2)*(16/50)) = 14/50 = 0.28.

Why does probability matter?

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

How do you determine probability?

The probability is computed by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

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