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What is the probability of getting an ace in a pack of cards?
you have a 1/13 chance of getting an ace in a pack of cards
What is the probability of getting neither an ace nor a heart?
The probability of not getting on ace is 48 in 52, or 12 in 13, or about 0.9231. The probability of not getting a heart is 39 in 52, or 3 in 4, or 0.75.These two events, however, are not exclusive, so you can not just multiply them together. You need to look at the big picture. But look at the summary below.There are 4 aces in the deck, one of which is a heart. There are 13 hearts in the deck, one of which is an ace. The inclusion set is 16 cards that are either an ace or a heart. Flip this over by subtracting from 52 and you get 36 cards that are not an ace nor a heart.So, the probability of getting neither an ace nor a heart is 36 in 52, or 18 in 26, or 9 in 13, or about 0.6923.Now, it turns out that you could have just multiplied the probabilities and obtained the same result. This worked because you were looking at inverse probabilities. It would not have worked if the question was to find the probability of getting an ace or a heart.In summary, I went ahead and showed the thought process involved to illustrate a point - that you need to understand the set of possible outcomes in order to make a correct calculation.
What is the probability of getting a queen and a heart?
The probability of getting the queen of hearts is 1 in 52, or about 0.01923. The probability of getting any queen is 4 in 52, or about 0.07692. The probability of getting any heart is 13 in 52, or exactly 0.25.
Three cards are chosen at random from a standard deck of cards without replacement What is the probability of getting 3 aces?
The probability of drawing the first ace is 4 in 52. The probability of getting the second ace is 3 in 51. The probability of getting the third ace is 2 in 50. The probability, then, of drawing three aces is (4 in 52) times (3 in 51) times (2 in 50), which is 24 in 132600, or 1 in 5525, or about 0.0001810
If you draw a card from a standard deck of cards what is the probability of drawing a heart or an Ace?
The chance of picking a heart is 1/4 as there are four suits. The chance of picking an ace is 1/13, as there are 4 aces in a deck of 52. If I want the probability of drawing a heart of an ace, I can add these probabilities together, but I have double counted on possibility, the ace of hearts. So: Probability = 4/52 + 13/52 - 1/52 = 16/52 or 4/13 Probability = 0.308 expressed as a fraction.
