Fractionals

[warspite1]

Maths is not my strong point. So can anyone tell me why I don't get a Fractional roll here please? The only thing I can think of is that this is rounded down to 42 and not 50. Can someone who has a brain run through the calculation please?

[Orm]

That is working as intended. No fractional. I will break it down in next post.

[Orm]

53.5 is rounded to 54

54:6 -> 9:1 exactly. No fractional odds either up, nor down.

The 1d10 LCT is in use, and in the 1d10 table there is no 9:1 table. Therefore the attack is rolled on the lower odds table that is available and that is 7:1.

If you had one more point in the attack then you would have had a fractional odds roll. 54.5 rounds to 55, and 55:6 is 9.17:1 and then you get a 17% roll that the odds is 10:1 and that table exist so it would have been 10:1 table if the roll succeeded.. If it failed it would be 7:1

If the odds had been 8.5:1 then there is a fractional odds roll but the combat table had been 7:1 either way.

[warspite1]

I see what you mean although RAC rounds down in the defenders favour and not up - So 53 and not 54. If that is rounded down to 53 (8:1) then presumably the best fractionals throw would then be 9:1 which doesn't exist so it would be back to 7:1?

[Orm]

ORIGINAL: warspite1

If that is rounded down to 53 (8:1) then presumably the best fractionals throw would then be 9:1 which doesn't exist so it would be back to 7:1?

Indeed.

[Orm]

ORIGINAL: warspite1

I see what you mean although RAC rounds down in the defenders favour and not up - So 53 and not 54.

As always with RAC, things are not always as clear as you think. 53.5 rounds up to 54 according to RAC. The rounding down you refer to is that the final odds is down in the defenders favour. It is two different things.

Here I cut in the relevant rounding rule from RAC. And the last part of the example is just what we discuss.


Cut from RAC:
2.6 Fractions
These rules frequently require a calculation that produces a fraction. When necessary, fractions are rounded to the nearest whole number, by rounding halves up.
Example: Germany has 21 production points. Her production multiple is 1.25, so she has 26.25 build points. This rounds to 26 points. Next year her production multiple increases to 1.5, so she has 31.5 build points. This rounds to 32.
Rounding a negative number up moves you closer to zero. For example, if the fraction is -1.5, it rounds up to -1.
Round off a number immediately before:
• calculating an odds ratio; or
• looking the number up in a table; or
• comparing it to a dice roll or to a fixed value; or
• spending oil (see 13.5.1) or build points.
Example: In an attack, you have 3 units attacking across a river. Their total strength is 17, which halves to
8.5. In addition, you add in 8.5 factors of shore bombardment. You also commit a CV with an air component of 5 as
ground support. Its tactical factors are 2.5. Your total attack strength is 19.5. As you are about to calculate an odds
ratio, you round it to the nearest whole number ~ 20.

[warspite1]

ORIGINAL: Orm

ORIGINAL: warspite1

I see what you mean although RAC rounds down in the defenders favour and not up - So 53 and not 54.

As always with RAC, things are not always as clear as you think. 53.5 rounds up to 54 according to RAC. The rounding down you refer to is that the final odds is down in the defenders favour. It is two different things.

Here I cut in the relevant rounding rule from RAC. And the last part of the example is just what we discuss.


Cut from RAC:
2.6 Fractions
These rules frequently require a calculation that produces a fraction. When necessary, fractions are rounded to the nearest whole number, by rounding halves up.
Example: Germany has 21 production points. Her production multiple is 1.25, so she has 26.25 build points. This rounds to 26 points. Next year her production multiple increases to 1.5, so she has 31.5 build points. This rounds to 32.
Rounding a negative number up moves you closer to zero. For example, if the fraction is -1.5, it rounds up to -1.
Round off a number immediately before:
• calculating an odds ratio; or
• looking the number up in a table; or
• comparing it to a dice roll or to a fixed value; or
• spending oil (see 13.5.1) or build points.
Example: In an attack, you have 3 units attacking across a river. Their total strength is 17, which halves to
8.5. In addition, you add in 8.5 factors of shore bombardment. You also commit a CV with an air component of 5 as
ground support. Its tactical factors are 2.5. Your total attack strength is 19.5. As you are about to calculate an odds
ratio, you round it to the nearest whole number ~ 20.

warspite1

okay [;)]