Not convinced.
Each individual ticket has 1 in 290 mm possibility of winning. Buying two tickets dosnt split the 290 in half.
(It's more like rubah deleisa kamon, not more chances. Just more options.)
All jmho
Here, I'll show you:
1 ticket = 1/292mil chance... = 0.000000003424657534246575% chance of winning (See Dan's comments)
2 tickets = 2/292mil chance.. = 0.000000006849315068493151% chance of winning (See Dan's comments)
Just to show the calculator's background thinking for you:
0.000000003424657534246575
+0.000000003424657534246575
___________________________
=0.000000006849315068493150
EDIT: Also, 292mil/2 = 146mil. So do 2 tickets split the 292 in half?
2 tickets = 2/292mil chance.. = 0.000000006849315068493151% chance of winning (See Dan's comments)
292mil/2 = 146mil.
1/146mil = 0.000000006849315068493151% chance of winning (See Dan's comments),
the same as 2/292mil.You see that there is a 0.000000000000000000001 difference between adding and multiplying. Either the calculator dropped that off (because see Dan's comments), or, more likely, the discrepancy didn't work out with decimals, sort of like trying to divide 1 by 3 on a calculator (it will say 0.333333333, which will still leave it just under 1 when multiplied times 3. The decimal version of a number sometimes isn't as accurate as the fraction version of the number, i.e. 1/3).
now let's jump the math up to 10 tickets.
1 ticket = 1/292mil chance........ = 0.000000003424657534246575% chance of winning (See Dan's comments)
10 tickets = 10/292mil chances.. = 0.00000003424657534246575% chance of winning (See Dan's comments)
Just for clarity, let's double check that with the number you get from adding the chances from 1 ticket 10 times.
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
0.000000003424657534246575
+0.000000003424657534246575
___________________________
=0.00000003424657534246575% chance of winning (See Dan's comments)
(Had to switch to scientific calculator to successfully copy+paste the number 10 times and maintain it's total integrity. Standard calculator cut off some numbers).
You notice that it dropped a decimal point.
And what about multiplying the chance from 1 ticket by 10?
10 x 0.000000003424657534246575
....=0.00000003424657534246575 % chance of winning (See Dan's comments)
Notice that it has stayed the same numbers as the adding version, and again, it simply dropped a decimal.
So in jumps of ten, the math from adding the number is the same as multiplying the number. Now, here's what seems to get people arguing.
Is 10/292mil really the same as 1/29.2mil? Let's find out!10/292mil = 0.00000003424657534246575% chance of winning (See Dan's comments)
1/29.2mil = 0.00000003448275862068966% chance of winning (See Dan's comments)
Just to be clear, in math, you can often cut down the number on top of the dividing sign, and do the same thing to the number on the bottom half of the dividing sign. It still maintains the integrity of the number in most (but not all) cases. So 2/4 = 1/2 (cut both by 2 AKA in half), 4/8 also = 1/2 (cut both by 4 AKA in quarter), and 5/35 = 1/7 (cut both by 5, AKA in fifths).
So with fractions, it makes sense to say that 10/292mil = 1/29.2mil. You're just cutting both sides by 10, AKA tenths.
As you can see, whether adding or multiplying, the chances for the ticket are almost exactly the same. And the
chances shown by doing the numbers out of 292mil or cutting it down to smaller numbers like 29.2mil when doing blocks of 10, 100, 1000, etc. (See Zkpncs48's comment)
are almost the same. Sure, the 1 vs. 10 example is off by a couple hundred billionths (the name of the decimal spot where the 1/29.2mil and 10/292mil start to vary), but see Dan's comments about statistical significance. For anyone determining their chances, the numbers are basically the same. I'll let someone else post out the numbers for 100, 1000 etc. amounts of tickets.
TL;DR = See Dan's comments.