Draw lots to find team members

The number of two of the six species is c (2 6) = 6! /(2! 4! ) =28.

(1) The number of male species is c (2 4) = 4! /(2! 2! ) =6 species, and the number of female species is c (2 2) =1species.

The probability that the members of the research group are of the same sex P=(6+ 1)/28= 1/4.

(2) There are only 1 species where two people can't speak English, so the probability of this combination winning is 1/28.

Then, the probability that some members of the research group can speak English is P= 1- 1/28=27/28.

(3) The number of collocations in which only men can speak English is C (1.3) C (1.1) = 3, and the number of collocations in which only women can speak English is C (1.1) C (/kloc-0).

The probability that there are English speakers and members of the opposite sex in the research team is P=(3+ 1+3)/28= 1/4.