(4/52)*(3/51) = 0.004525, approx.
The probability of not drawing an Ace from a standard deck of 52 card is 48 in 52 or 12 in 13, or about 0.9231.
There are four 6s in a standard deck of 52 cards, so the chance of drawing a 6 is: 4/52 = 1/13 = 0.0769
The probability of drawing a seven in a standard deck of 52 cards is 4 in 52, or 1 in 13, or about 0.07692.
The probability is 1 if you draw three balls without replacement. If only one draw, it is 3/5.
The probability of drawing a diamond from a standard 52-card poker deck without jokers is 13/52, or 1/4. The probability of drawing a second diamond at that point would then be 12/51, for an overall probability of 12/212, or 3/53. This amounts to about a 5.88% chance.
From a standard deck of 52 cards, the chance of not drawing a king on one pick is 48 of 52, or 12 out of 13 (about 92%).
13/52 (if you're not playing with the two jokers. If you are then it would be 13/54)
The probability is 12/52 or 1/4 since 12 of the 52 cards are hearts.
There are 2 red suits and 2 black suits. Therefore the probability of drawing a red card is 1/2. Or 50% chance.
There is a 1 in 52 chance that the first card drawn in a standard, shuffled 52 card deck, will have a value of 7.
Assuming a standard 52 card deck, there are 12 face cards. So the chance of drawing a face card is 12/52, or 3/13.
This question is a little bit tricky. In a deck of 52 cards, one-fourth or 13 cards are spades. So, the chance of drawing one spade = 13/52 or 0.25. If a second card drawn, there's one less spade in the deck, so the probability on the second draw is 12/51. The probability of drawing two spades from a deck is 0.25 x 12/51 = 0.058824 This is called sampling without replacement. In quality control, it is very common to sample without replacement as bad parts are discarded. If we consider drawing one card, putting it back in the deck, regardless if it is a spade or not, then reshuffling the deck and drawing the second card, the probability is 0.25 x 0.25 = 0.0625, a bit higher with replacement. This is the same as 1/4 x 1/4 = 1/8 or saying the odds are 1:8. I've included a couple of links on sampling with replacement and without replacement. Generally, for calculating statistics, we attempt to get independent results. The draw of one card, will reduce the population, and change the probabilities on the second draw, so sampling without replacement is not independent sampling. See related links.