LuckyDucky

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I agree what is the question being asked?

36 = 2² * 3².

Nice solution!

  Slope = 2.571/2.000 = 1.286

  x-intercept = 14/9 = 1.55556

  y-intercept = 14/-7 = 2/-1 = -2.00000

30.8333333

The two trains meet after 125 minutes the first starts or at 2:05 pm

A 3-digit number is peachy if it has a 3 in the middle, or it both starts and ends in a 3.

There are 9*1*10 for the first one

There is 10 of the second type, but because we already counted 333 in the first case, so we don't have to count it again 

Without the overcounting, we get 9 new peachy numbers in the second case.

Therefore, there are \(90 + 9 = \boxed{99}\) peachy three-digit numbers.

Thanks!

The denominator of the probability is \(6^3 = 216\). We are asked to find the probability that the three numbers are consecutive. The three numbers can be arranged in 6 ways, and there are 4 triplets of consecutive numbers from 1-6. The probability is \(\dfrac{6\cdot4}{216} = \dfrac{24}{216} = \boxed{\text{(B) }\dfrac{1}{9}}\)