#### Answer

25:1

#### Work Step by Step

The odds against E are found by taking the probability that E will not occur
and dividing by the probability that E will occur.
Odds against E = $\frac{P(not E)}{P(E)}$
We find the odds against drawing a red jack
E: {2 Jacks that are red}
P(E) = $\frac{2}{52}$ = $\frac{1}{26}$
P(not E) = 1 - P(E)
= 1 - $\frac{1}{26}$
=$\frac{26-1}{26}$ = $\frac{25}{26}$
Odds against E = $\frac{\frac{25}{26}}{\frac{1}{26}}$ = $\frac{25}{1}$