How difficult is it to find/roll off-color sockets?

So, I have an odd, yet fun and deadly Whirling Blades Templar build. However, I am running into the problem of getting 4 link Armor or Armor/ES gear that contain 2 green sockets. I have tried rerolling the colors with chromatic orbs, but I can never get the 2 that I need. Are the off-color sockets really that rare on items or is it just some tough luck? Anyone have similar problems with their builds?

You have about a 10% chance at an off color socket. So on a 4 socket, STR/INT item getting two greens (ignoring the other socket colors) is about 1 in 20 chance. Keep trying, you'll get there.

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TehHammer wrote:

You have about a 10% chance at an off color socket. So on a 4 socket, STR/INT item getting two greens (ignoring the other socket colors) is about 1 in 20 chance. Keep trying, you'll get there.

Good advice here, with correct math. Good work.

Thanks, that was very helpful

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ragnarok1 wrote:

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TehHammer wrote:

You have about a 10% chance at an off color socket. So on a 4 socket, STR/INT item getting two greens (ignoring the other socket colors) is about 1 in 20 chance. Keep trying, you'll get there.

Good advice here, with correct math. Good work.

but thats not correct.

the chance of rolling 2 green on a 2 socket STR/INT item would be 1/100 assuming theres a 10% chance of each. the events are unrelated, therefore the chances are multiplicative.

however on a 4 socket item there are many combinations that would suffice to be considered 2 green sockets. so the total chance is the summation of all events that generate 2 of the 4 sockets as green.

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ualac wrote:

but thats not correct.

the chance of rolling 2 green on a 2 socket STR/INT item would be 1/100 assuming theres a 10% chance of each. the events are unrelated, therefore the chances are multiplicative.

however on a 4 socket item there are many combinations that would suffice to be considered 2 green sockets. so the total chance is the summation of all events that generate 2 of the 4 sockets as green.

Hmm, I was always under the impression that each socket rolled separately?

Chance of at least 2 Green

Chances of 2 Green:
.1 * .1 * .9 * .9 = .0081

Multipled by total number of combinations of 2 green out of 4:
(1,2) (1,3) (1,4) (2,3) (2,4) (3,4) = 6

0081*6 = .0486

PLUS

Chances of 3 Green:
.1 * .1 * .1 *.9 = .0009

Multipled by combination of 3 green out of 4:

(1,2,3) (1,2,4) (1,3,4) (2,3,4) = 4

.0009*4 = .0036

PLUS

Chance of all 4 green

.1*.1*.1*.1 = .0001
.0486 + .0036 + .0001 = .0523*100% = 5.23% chance of rolling at least 2 green

Now, I need a statistics person to tell me where I'm wrong.

Whatever the chances, I managed this without much hassle, 2 blues on a str/dex item:



And 2 reds on a dex piece:

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Elynole wrote:

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ualac wrote:

but thats not correct.

the chance of rolling 2 green on a 2 socket STR/INT item would be 1/100 assuming theres a 10% chance of each. the events are unrelated, therefore the chances are multiplicative.

however on a 4 socket item there are many combinations that would suffice to be considered 2 green sockets. so the total chance is the summation of all events that generate 2 of the 4 sockets as green.

Hmm, I was always under the impression that each socket rolled separately?

yep they ought to. so you have a 10% chance for socket one (P1), and 10% chance for socket two (P2). since they dont effect one another the probabilities are multiplied.

in the four socket item case the result is different as many 4 socket colour rolls could satisfy the condition of 2 being green. this is all discrete probability, ie. a finite set of event outcomes each with varying chance, many of which satisfy the conditions. the total would be the sum of all these event chances.

(which probably ends up at 1/20 knowing my luck)

Idk but I think will be better to find a white item with 6 linked shokets and with colors you need for example in some mele build u can combine red and greed and blue gems so chance to get what you need is very low very very low no very very very very low may be even lower