Question

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?

Answer 1

P(Train leaves late) will most likely occur.

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.