If the Ace is considered a high card, then there is approx a 38% probability of drawing above a nine in a standard shuffled deck of 52 playing cards, assuming no cards have already been drawn.
Reason:
There are five cards above the nine in each suit (10, J, Q, K, A). So there is a five out of thirteen chance (or 20 out of 52); or 38.46%.
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The probability of drawing a pair from a standard deck of 52 cards is 3 in 51, or 1 in 17, or about 0.0588.
There are only 4 suits in an ordinary deck of playing cards. The probability of drawing a heart is 1 in 4, or 0.25.
The probability of drawing 2 cards that are two's from a standard deck of 52 playing cards is 1 in 221. The probability of drawing the first two is 4 in 52 or 1 in 13. The probability of drawing the second two is 3 in 51. Multiply those two probabilities together and you get 3 in 663, or 1 in 221.
The probability is 22/52 = 11/26.
7/26