The curious die

Question

A peculiar die has the following properties: on any roll the probability of rolling either a 2

, a 3

, or a 4

 is 1/2

, just as it is with an ordinary die. Moreover, the probability of rolling either a 4

, a 6

, or a 5

 is again 1/2

. However, the probability of rolling a 4

 is 1/8

, not 1/6

 as one would expect of an ordinary fair die.

From what you know about this peculiar die, compute the following.

1. The probability of rolling anything but a 4
2. The probability of rolling either a 6 or a 5

Answer 1

Briana, you can solve these.

a) Prob (anything but 4) = 1 - prob(4)

b) prob (5 or 6) = prob (4, 5, or 6) - prob (4)

if you have any questions please ask