There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
In which distributions does the variable X have a binomial distribution?
When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.
When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.
When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.
When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen.