Well, as promised, I have a set of scenarios including a transport …
One bomber going after a DD and one TRN carrying no cargo …
0.3333 chance the bomber dies in the AA round
0.0556 chance the bmr kills the DD and the TRN if it survives AA
0.2778 chance the bmr kills the DD if it survives AA
0.2222 chance the bmr damages the DD if it survives AA
(-$5) x 0.3333 + ($7) x 0.6667 x 0.0556 + ($5) x 0.6667 x 0.2778 + ($2) x 0.6667 x 0.2222 = -$0.185
One bomber vs. one DD and one TRN carrying $2 Cargo … -$0.111
One bomber vs. one DD and one TRN carrying $4 Cargo … -$0.037
One bomber vs. one DD carrying $2 Cargo and one TRN carrying $4 Cargo … $0.630
One bomber and one fighter going after a DD and one TRN carrying no cargo …
0.3333 chance the fighter dies in the AA round
0.0556 chance the bmr kills the DD and the TRN if ftr killed in AA
0.2778 chance the bmr kills the DD if ftr killed in AA
0.2222 chance the bmr damages the DD if ftr killed in AA
0.1481 chance the airplanes kill the DD and TRN if they all survive the AA
0.3333 chance the airplanes kill the DD if they all survive AA
0.2222 chance the airplanes damage the DD if they all survive AA
(-$3) x 0.3333 + ($7) x 0.3333 x 0.0556 + ($5) x 0.3333 x 0.2778 + ($2) x 0.3333 x 0.2222 + ($7) x 0.6667 x 0.1481 + ($5) x 0.6667 x 0.3333 + ($2) x 0.6667 x 0.2222 = $1.850
One bomber and one fighter vs. one DD and one TRN carrying $2 Cargo … $2.074
One bomber and one fighter vs. one DD and one TRN carrying $4 Cargo … $2.309
One bomber and one fighter vs. one DD carrying $2 Cargo and one TRN carrying $4 Cargo … $3.617
One bomber and two fighters going after a DD and one TRN carrying no cargo …
0.3333 chance a fighter dies in the AA round
0.1481 chance the airplanes kill the DD and the TRN if a ftr killed in AA
0.3333 chance the airplanes kill the DD if a ftr killed in AA
0.2222 chance the airplanes damage the DD if a ftr killed in AA
0.2593 chance the airplanes kill the DD and TRN if they all survive the AA
0.3457 chance the airplanes kill the DD if they all survive AA
0.1975 chance the airplanes damage the DD if they all survive AA
(-$3) x 0.3333 + ($7) x 0.3333 x 0.1481 + ($5) x 0.3333 x 0.3333 + ($2) x 0.3333 x 0.2222 + ($7) x 0.6667 x 0.2593 + ($5) x 0.6667 x 0.3457 + ($2) x 0.6667 x 0.1975 = $2.675
One bomber and two fighters vs. one DD and one TRN carrying $2 Cargo … $3.119
One bomber and two fighters vs. one DD and one TRN carrying $4 Cargo … $3.564
One bomber and two fighters vs. one DD carrying $2 Cargo and one TRN carrying $4 Cargo … $5.103
Since it is clear that one bomber alone is not good, one fighter and one bomber derive a positive benefit and adding fighters makes the score rise rapidly, there is no reason to explore other combinations of aircraft in this case. The next set of statistics will be prepared for aircraft against two destroyers. Then I will add transports to that case also.