Here are the sides of the 20-sided die:
Side prime? ≧15? Prime and ≧15?
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1, no, no no
2, yes, no no
3, yes, no no
4, no, no no
5, yes, no no
6, no, no no
7, yes, no no
8, no, no no
9, no, no no
10, no, no no
11, yes, no no
12, no, no no
13, yes, no no
14, no, no no
15, no, yes no
16, no, yes no
17, yes, yes yes
18, no, yes no
19, yes, yes yes
20 no, yes no
Only 17 and 19 are prime and also ≧ 15.
Answer: The probability is 2 out of 20 or
which reduces to
.
Edwin