Hazard game

In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win:

a) second prize (we guess five numbers correctly)
b) the third prize (we guess four numbers correctly)?

Correct answer:

p1 =  0.0018 %
p2 =  0.0969 %

Step-by-step explanation:

C5(6)=(56)=5!(65)!6!=16=6 C1(43)=(143)=1!(431)!43!=143=43 C6(49)=(649)=6!(496)!49!=654321494847464544=13983816 n=49 o=6 s=no=496=43  p1=100 (on)(5o) (1s)=100 139838166 43=0.0018%
C4(6)=(46)=4!(64)!6!=2165=15 C2(43)=(243)=2!(432)!43!=214342=903 p2=100 (on)(4o) (2s)=100 1398381615 903=0.0969%

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