I need to find the theoretical probability of drawing 2 red cards that add up to 13, but there are some twists to this:
1) Find prob. with and without replacement
2) Jokers are included in the deck
3) Face cards have a value of 10 (a 3 and a king is the same as a 3 and a 10, and so on...)
4) Aces have a value of 1
5) Find the probability using events (fractions)
6) Find the probability using combinations (nCr)
I'm sorry that this is so much to ask for, but this is what i have to do for a paper (and 12 other problems similar to this one), ANY help at all will be appreciated.
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This is the work i have done so far (to the point where i am sure about, i have gone down many paths that lead to being clueless)
You can draw these choices:
King - 3
Queen - 3
Jack - 3
10 - 3
9 - 4
8 - 5
7 - 6
6 - 7
5 - 8
4 - 9
3 - 10
3 - Jack
3 - Queen
3 - King
11 cards*4 suits = 44
52 cards+2 jokers=54
So i have (44/54), now what is the correct way to do my second event?
And for combinations i have (52 C 44)*(n C r) / (52 C 2), what is my second combination?