Which of the following probabilities CANNOT be found using the binomial distribution

Question

1. The probability that 3 out of 8 tosses of a coin will result in
   heads

2.The probability of getting exactly five face cards when
drawing five cards from a standard deck of 52 cards without
replacement

(3) When randomly choosing a family with four children,
the probability that it will have exactly two boys and two girls as
children, if having a boy or a girl is equally likely

(4) The
probability that a student randomly guessing will get at least 8 out
of 10 multiple-choice questions correct (assuming every question has
five choices)

To me, all of these scenarios seem like I can apply the binomial distribution formula except for (2) . I believe I can use it on (1) and (3) and (4). For (2) though, the probabilities will change due to no replacement. I think this breaks the formula. Is this correct?

Answer 1

Yep. All but 2 (because of no replacement). Use hypergeometric distribution for that!