The positions on a lacrosse team are called defenders (D). midfielders (M) and attackers (A) One player is chosen at random to lead the team in exercises before each game. The letters MDD mean that a midfielder was chosen at the first game and a defender was chosen at the next two
games. The list of all possible outcomes is shown, where each outcome has equal probability of occurring.
MDA
DDA
AMA
AMM
AAA
AAM
AAD
ADA
ADM
ADD
DMA
DMM
MAA
MAM
MAD
MMA
MMM
DDM
DAA
DAM
DAD
MDM
MDD
MMD
DMD
AMD
DDD
What is the probability that a defender is chosen at least once, given that a midfielder is chosen at the first game?