func main() {
// Create result frequency tables for Colin and Peter
freqsC := make([]int, 37)
freqsP := make([]int, 37)
for i := range iterutil.CartesianPower(6, 6) {
sum := 6 + sliceutil.SumInt64(i)
freqsC[sum]++
}
for i := range iterutil.CartesianPower(4, 9) {
sum := 9 + sliceutil.SumInt64(i)
freqsP[sum]++
}
// Create probability distributions for Colin and Peter
probsC := make([]float64, 37)
probsP := make([]float64, 37)
cOutcomes := float64(6 * 6 * 6 * 6 * 6 * 6)
pOutcomes := float64(4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4)
for i, _ := range freqsC {
probsC[i] = float64(freqsC[i]) / cOutcomes
probsP[i] = float64(freqsP[i]) / pOutcomes
}
// Calculate P(P > C) = Sum[tot=0..36] P(C < P|P=tot) P(P=tot)
sum := float64(0)
for totP := 0; totP <= 36; totP++ {
for totC := 0; totC < totP; totC++ {
sum += probsC[totC] * probsP[totP]
}
}
fmt.Printf("%v\n", sum)
}
func DigitSum(n int64) int64 {
return sliceutil.SumInt64(mathutil.ToDigits(n, 10))
}