What is the probability that both cards are spades?

The probability that the first card drawn is a spade is 1/4. Given that the first card drawn is a spade, there are 12 more spades out of the remaining 51 cards in the deck (assuming that you're drawing without replacement). So the total probability of two spades is (1/4)(12/51) = 3/51.

What is the probability to pick a club and diamond if you draw two cards at once?

Probability to draw a Club second time is 12/51=4/17. we determined the probability to have two diamonds. It is 1/17. So is the probability to get two cards of any other suit. Thus the total probability to get two cards of the same suit is 4*1/17=4/17.

What is the probability of drawing one spade from a pack of 52 cards?

Hence for drawing a card from a deck, each outcome has probability 1/52. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.

What’s the probability you draw exactly 1 Heart in 2 draws with replacement?

There is a 38 probability of pulling exactly 1 heart on two draws, with replacement.