Question

Please I need help!!! My grade depends on it!

There are ten 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. Select all that apply.
A. When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.
B. When a card is chosen at random with replacement six times, X is the number of times a three is chosen
C. When a card is chosen at random with a replacement multiple times, X is the number of times a card is chosen until a five is chosen
D. When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen
Please help!

Answer 1

A binomial distribution has the following properties;
1. There is a fixed number of trials.
2. Each trial is independent of the others.
3.Each trial has a constant probability of success.
4. There are only two possible outcomes, 'success' and 'failure'.

Statements B and D meet the requirements for the variable X to have a binomial distribution.