show your work for the question, it's grade 12 data management, use probability involving, counting principles, permutations, and combinations

Name: (LAST, First) 14)8 Biologists, 6 Chemists, and 6 Physicists are 17)A committee of 6 is to be selected from a class of being considered for a 7 member committee. What is 30 students, of which 20 are females. What is the the probability that at least 2 chemists are on the probability that all members of the committee are committee? males? 15)Suppose a 6 card hand is drawn from a standard 18)A lottery has balls numbered 1 to 40 and five balls deck of cards. What is the probability that half of them |drawn. You win first prize if you select all five numbers are divisible by 2 and the other half are face cards? and second prize if you select 4 of the five numbers. Find the probability that you win 1st or 2nd prize