More entries can mean better odds, but only when the sweepstakes discloses a fixed pool. Here is the math Gaviom publishes and how bundles relate to free entry law.
Fixed pools make odds honest
If a sweepstakes caps at 6,000 entries, each single entry has a 1 in 6,000 baseline chance before duplicates. Buying five entries moves you to 5 in 6,000 (1 in 1,200) because your name occupies five distinct entry records, not because the pool shrinks.
Checkout shows this improvement explicitly when you select bundles on prize pages like the iPhone sweepstakes.
Bundles are convenience, not secret access
Volume discounts reward early commitment while the promotion builds. They do not create a separate VIP drawing. Free AMOE entries remain in the same pool.
Responsible play
Set a personal budget before bundling. Odds improve linearly with entries, but the house edge of hope is still real. Never spend money you cannot afford to lose entirely.