Fortune Telling Collection - Fortune-telling birth date - Ask a math expert to help me calculate the probability. I missed ten of the six dishes.

Ask a math expert to help me calculate the probability. I missed ten of the six dishes.

Liuhe cuisine misses ten points, which means that the number of 10 is selected from 1-49, regardless of the arrangement order, as long as six numbers are not selected, the prize will be won. According to the principle of combinatorial mathematics, the combined number of 10 out of 49 numbers is 49 and 10, that is, C(49, 10) = 49! / [(49- 10)! * 10! ] ≈ 6.98x10 8, where c represents the number of combinations. Because any six numbers won't win the prize, the combined number of six numbers in the remaining 39 numbers is: c (39,6) = 39! / [(39-6)! * 6! ] ≈ 3. 18 x 10 6 Therefore, the number of winning cases is: C (49,10)-c (39,6) = 6.96 x10 8-3.18 x. The winning probability is the number of winning cases divided by the number of all possible cases: p (Liuhe cuisine misses ten times) = the number of winning cases/all possible cases ≈ 0.0995%. In other words, the probability of winning the lottery in Liuhe Cuisine is about 0.0995%.