Hello and welcome to the forum!
So let us first differentiate the two national parks:
1.
Ranthambore National Park
- Location: Sawai Madhopur District of Rajasthan.
- Area: 392 square kilometres.
- Other animals found: Leopard, sambar, wild boar, hyena, chital and rhesus macaque.
- Reptiles: Tortoise, crocodile, cobra and rat snakes.
- Birds: Woodpecker, owl, pigeon, dove, pelican and flamingo.
- Plants and trees: About 300 species. Dhok, Banyan and Am trees dominate the forests.
- Zones: Has 10 zones, 1-5 are the main zones and 6 to 10 are the buffer zones. Zones 1 to 5 have reportedly higher tiger sightings.
- Park Entry Fee: Rs. 100 for Indians and Rs. 800 for foreigners.
- Gypsy Safari Fee: Rs. 244 for Indians and Rs. 984 for foreigners. Additional Rs. 400 for vehicle fee and Rs. 38 for the guide.
- Canter Safari Fee: Rs. 129 for Indians and Rs. 869 for foreigners. Additional Rs. 350 for vehicle fee and Rs. 38 for the guide.
- Probability of Seeing Tigers: High.
2.
Jim Corbett National Park
- Location: Nainital District of Uttarakhand.
- Area: 520.8 square kilometres.
- Other animals found: Leopard, barking deer, sambar, Himalayan black bear, chital and otter.
- Reptiles: Indian python and crocodile.
- Birds: Lesser fish eagle, great slaty woodpecker and spot-bellied eagle owl.
- Plants and trees: About 488 species. Consists mainly of Sal forests.
- Zones: Has 5 tourist zones. Bijrani Safari Zone has open grasslands for Jeep Safaris and Elephant Safaris. Jhirna Safari Zone is open for tourists all year round and is a great for a Jeep Safari. Dhela Safari Zone is also open all-year round, you can do Jeep Safaris here. Dhikala Zone has the lodging for guests, can only be accessed at night. Durga Devi Zone is a place for bird-watchers, there's also a lodge here and Elephant and Jeep Safaris can also be requested.
- Park Entry Fee: Rs. 200 for Indians and Rs. 900 for foreigners.
- Elephant Safari Fee (Whole Day): Rs. 3,000 for both Indians and foreigners.
- Elephant Safari Fee (Three Hours): Rs. 300 for Indians and Rs. 1,000 for foreigners.
- Ramganga Conducted Tour Fee: Rs. 1,000 for Indians and Rs. 2,000 for foreigners.
- Probability of Seeing Tigers: Medium.
There you go. Anyway, since
Ranthambore National Park has a smaller area, there is a higher density of tigers there. For higher chances of seeing tigers, try going to the three lakes there: Padam Talao, Raj Talao and Milak Talao. They can usually be found in watering holes. The months of March and April are great for seeing tigers as the forests here are of the dry and deciduous type, so they shed their leaves in the summer. There's less camouflage for the tigers because of this.
But don't dismiss
Jim Corbett National Park already. One tip: go to the Eastern side of the park, in the Birkani part where there are grasslands and small water bodies. You can find the preys of tigers there as well as the tigers themselves if you're lucky.
Tiger sightings depend on luck as well. Some people have already taken a few visits and still, they weren't able to see tigers. Others were able to see tigers in just their first visit. The months of March, April, May and June are the best months for spotting tigers.
I hope this helps!