Raffle

There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?

Correct result:

p =  30.78712 %

Solution:

C5(20)=(205)=20!5!(205)!=201918171654321=15504  n=(205)=15504 a1=20 19 18 17 180 179 178 177 176 175 174 173 172 171 170 169 168 167 166 165=7.106370793291040 b1=200 199 198 197 196 195 194 193 192 191 190 189 188 187 186 185 184 183 182 181=3.925700969721045 a2=20 19 18 17 16 180 179 178 177 176 175 174 173 172 171 170 169 168 167 166=6.89102622381039  p1=100 n a1b1=100 15504 7.1063707932910403.92570096972104528.0656 %  p2=100 n a2b1=100 15504 6.891026223810393.9257009697210452.7215 % p=p1+p2=28.0656+2.7215=30.78712%



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