can you please check if these answers are correct

b) After 34 trials the mock 13. Wayne Simmonds plays for the Toronto Maple Leafs. The team is having new jerseys made for their Veterans Day game. Wayne's last name, SIMMONDS will be spelled on the back of the jersey. (3 marks) If the name was spelled randomly on the back, what is the probability that his name would be spelled correctly? A= SSIMMONDS spelled correctly's n ( 4 ) A' = Erandom spelling's P (A = n (A ' ) = 81 = 40320 P (A ) = 40320 n (A ) = 18: 14. 21 students are trying out for an infield position on the AHS varsity baseball team, There are 5 catchers, 7 middle infielders, 3 third basemen and 6 first basemen. 9 infielders are to be chosen. a) What is the probability of 3 middle infielders, and an equal amount of each other group is chosen? (3 marks) 652 763 9 - 3 = 6 -)2 first basemen 1 2 third basemen Zcatchers P(A) 7 (3 x g ( 2 x 30, * 6 2 b) What is the probability that at least 3 catchers will be chosen? (4 marks) A: EAt least 3 catchers Chosen P ( A) = n( 4 ) n(s) SC3 15. The math department bought each other gifts for pi day! Each person has 2 gifts in the math office. yo id k There are 12 people in the Math Department, 3 men, and 9 women. What is the probability that a randomly selected gift is for Mr. Jansen given that the gift is for a man? (2 marks) A: & Gift is For Mr Jansen's P (A' ) = 1 - 2 P ( A ) = n ( A) 2 n (s) = 3C, X 1IC, 12 ( 2