Analysis and Approaches for IBDP Maths Ebook 2

Analysis and Approaches for IBDP Maths Ebook 2 | Page 241

76 Paper 2 Section A – Counting Problems Example A team of 11 players is to be selected from 18 football players, of whom 12 are Spanish and 6 are French. The selection of the team is made at random. (a) (b) Find the probability that exactly two French in the team. Find the probability that at most two French in the team. [3] [3] Solution (a) (b) The required probability � 6� �12� � �� 2 9 � � � � � �18� � � �11� M1A1 275 � 2652 A1 The required probability �6� �12� �6� �12� � 6� �12� � �� 0 11 1 10 2 9 � � � � � � � � � � � � � �18� � � �11� M1A1 103 � 884 A1 [3] [3] 17 www.seprodstore.com 231