Given an $8×8$ square and a set, which contains the pentominoes and four $1×1$ squares

I have a game.

Given an $8 × 8$ square and a set, which contains the pentominoes and four $1 × 1$ squares. Players alternately pick one item from the set. Then players (starting with the player who had chosen the first item) take turns in placing pentominoes on the board so that they do not overlap with existing tiles and no tile is used more than once. The objective is to be the last player to place a tile on the board.

So I need a great strategy. I am sure there doesn’t exist a winning strategy (and if so, then it is complicated), so I only need a strategy which helps to win.

• The picture you've chosen to use is a bit misleading, as it shows the 18 one-sided pentominoes, where as you are using the 12 two-sided ones, i.e. you are allowed to turn them over before placing them on the board. Also just to confirm - you are including the 4 monominoes in the set of playable game pieces? – Jaap Scherphuis Jul 31 '18 at 17:01