Here are four counts. A made-up gardener plants 12 seeds, each growing with probability 0.7, and…

Here are four counts.

1. A made-up gardener plants $12$ seeds, each growing with probability $0.7$, and counts how many grow.
2. Three cards are drawn without putting back from ten cards numbered $1$ to $10$, and the even numbers are counted.
3. A die is rolled until a six appears, and the rolls are counted.
4. In a made-up trial, $20$ patients each recover with probability $0.6$, independently, and the recoveries are counted.

How many of the four counts are binomial? Say which condition fails for each of the others.