Carl is wondering if the train he is riding home from school will leave early, on time, or late. The probabilities are as follows: P (Train leaves early) = 25%. P (Train leaves on time) = 0.35. P (Train leaves late) = 2/5. Which is most likely to occur?

Question

Mathematics

Andre Klein

24 January, 13:47

Carl is wondering if the train he is riding home from school will leave early, on time, or late. The probabilities are as follows: P (Train leaves early) = 25%. P (Train leaves on time) = 0.35. P (Train leaves late) = 2/5. Which is most likely to occur?

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Answers (1)

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Scarlett Downs · Answer 1

P (Train leaves late) will most likely occur.

Step-by-step explanation:

Given

P (Train leaves early) = 25%.

P (Train leaves on time) = 0.35.

P (Train leaves late) = 2/5

Required

Which will most likely occur.

First, we convert all probabilities to the same unit (decimal)

P (Train leaves early) = 25/100 = 0.25

P (Train leaves on time) = 0.35.

P (Train leaves late) = 2/5 = 0.4

Then we make comparisons among the three values.

The highest value of the three will most likely occur.

From the three probabilities, 0.4 has he highest value.

Hence, P (Train leaves late) will most likely occur.