What is the probability of a bridge hand containin 16 or more points?

Bidge players count the number of points in their hand counting 4 points for an Ace, 3 points for a King, 2 Points for a Queen and 1 Point for a Jack.
They sometimes modify the count to take account the length of suits, but please ignore such sophistications for the purposes of this question, i.e. what are the chances that a Bridge Player will pick up a hand with 16 or more Points counting Points for high cards as above.

If you are enthusiastic, you could tell me what are the chances of picking up a hand with 0 Points, 1 Point, 2 Points etc. up to 38 Points!

I don't think the answers are in principle difficult to calculate statistically, but I suspect they need repetitive calculations and I do not at present have the stats. software to do it. So help gratefully received!

The brdige books on probabilities that I have seen only talk about suit lengths and the use of probability in the play of the cards.

Answers:
You're in luck! Someone has done the calculating for you. The odds of getting 16 or more are almost 1 out of 10. The odds of getting 16 specifically are almost 1 out of 30.
very low?

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