Shuffle a standard deck of 52 playing cards. Turn over the first 10 cards, one at a time. Record the number of black kings you observe.Have the conditions for a binomial setting been met for this scenario?

A binomial setting requires independent trials, but the cards are drawn without replacement. After each card is turned over, the chance of drawing a black king changes slightly because the deck has fewer cards. Shuffling randomizes the order, but it does not make the draws independent, so the conditions are not all met.

AI-written and checked against the verified answer.