And that's where you understand it (and him) wrong. He got three chances. The chance was not to lot against others, because he was the sole lotter. The chance was about the drop itself.
P: "For 10 bucks I'll toss this coin three times. If it's head, you win a prize."
L: "Alright."
First toss: Tails.
Second toss: Tails.
L: "Wait, do I have to pay even if it's tails again?"
P: "Yes. 10 bucks bought you a chance to try three times."
L: "You wrong me!"