What are the values of n, p, and q in binomial probability?

Question

Full question. Our experiment will be drawing 10 cards with replacement from a standard deck of 52 cards (with 13 hearts, 13 diamonds, 13 clubs, 13 spades). We will record the number of diamonds.

a. Why is this a binomial probability?

b. What are the values of n, p, and q?

c. What (in words) does X represent?

d. What are all of the possible values of X?

Answer 1

The first question is pretty straightforward -- this meets all the requirements ("with replacement", each trial is a yes/no question with a specific probability), but what are you looking for? What exactly is the trial: getting a red, getting a spade, getting an ace? n will be the number of trials you attempt, and q = 1 - p.