It depends on the set of numbers you are drawing from.
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A very high probability if your numbers are greater than 78.
No, the probability of an outcome can't be more than 1.
Zero, since there are infinitely more irrational numbers than rational numbers. Note that "zero probability" is not the same as "impossible" in this case. For more details, see the Wikipedia article on "Almost surely".
There are 4 jacks in a pack of cards. There are 52 cards in a deck, so the probability of getting a jack is 4/52. This can be simplified to 1/13. There are also four 4s in a deck, so the probability of drawing a 4 is also 1/13. The probability of drawing a card less than six is the probabilities for drawing a 5, a 4, a 3, a 2, and an ace all added up. This is 5/13.
The probability of drawing the Ace of Hearts from a standard deck of 52 cards is 1 in 52. The probability of then drawing the Ace of Diamonds is then 1 in 51. Multiply these two probabilities together, and you get 1 in 2652, or about 0.0003771.The probability of drawing the ace of hearts from a deck before drawing the ace of diamonds, ignoring any other cards, is 1/2.Note: Both of these answers are correct. It depends on your point of view. They've been left so that you, dear reader, can think about it.