How many cards must be chosen from a deck to guarantee that at least?

One more card and I guarantee you that you will have at least 3 cards from the same suit. So the answer should be 9 cards.

How many cards must be chosen from a standard deck of 52 cards to guarantee that at least two of the four Aces are chosen?

How many cards must be chosen from a standard deck of 52 cards to guarantee that there are at least two cards of each of two different kinds? The answer given is 17.

What is the probability you draw two cards of the same color from a standard 52 card deck you are drawing without replacement?

There will be 51 cards left in the pack after the first card has been drawn with 26 of the other colour. So the probability of drawing two cards, without replacement, having different colours is 26/51.

How many cards must be selected from a standard deck of 52 cards to guarantee that at least three hearts are present among them?

Part b: ∎ The worst case, we may selects all the clubs, diamonds, and spades (39 cards) before any hearts. ∎ So, to guarantee that at least three hearts are selected, 39+3=42 cards should be selected.