Ch. 7.1 p.289

1. A die is rolled three times. Find the probability that the sum of the outcomes is

  1. greater than 9.
outcomes = 6 * 6 * 6
t = 0
for (i in 1:6) {
  for (j in 1:6) {
    for (k in 1:6) {
      if (i + j + k > 9) {
        t = t + 1
      }
    }
  }
}
print(t / outcomes)
[1] 0.625
  1. an odd number.

Since we have the same amount of odd and even numbers on each die roll, the probably that the sum of the outcomes is odd is 1/2.

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