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notes/CS1029/practical-2023-11-24/probability
bluepython508 dc42625cf1 .
2024-01-22 10:56:12 +00:00

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01. 4 52 / = 1/13
02. 50 100 / = 1/2
03. 1 1 52 5 C / - = 2598959/2598960
04. 4 1 C 52 5 C / 4 2 C 52 5 C / 4 3 C 52 5 C / 1 52 5 C / sum = 1/173264
05.
a) 1 50 5 C / = 1/2118760
b) 1 52 5 C / = 1/2598960
c) 1 56 5 C / = 1/3819816
d) 1 60 5 C / = 1/5461512
06.
a) 1 200 3 P / = 1/7880400
b) 1 200 / 3 ^ = 1/8000000
07.
a) 1 26 ! / = 1/403291461126605635584000000
b) 1 26 / = 1/26
08. 4 3 C 1 2 / 4 ^ * = 1/4
09. 6 1 C 1 2 / 6 ^ * = 3/32
10. 2 5 / 1 2 / * 1 3 / / = 3/5
11. P(U|P) = P(P|U)P(U) / P(P|U)P(U) + P(P|U')P(U')
) 96 % 8 % * 96 % 8 % * 1 8 % - 9 % * + / = 64/133
12.
a) 8 % 98 % * 8 % 98 % * 1 8 % - 3 % * + / = 196/265
b) 1 196 265 / - = 69/265
c) 2 % 8 % * 2 % 8 % * 92 % 97 % * + / = 4/2235