Does the Olympus 7.1 MP Stylus 770SW All-Weather Digital Camera have a flash?

because but i want it to have a good flash

yes it does

it should i have an older version stylus 300 and it has good flash
and picture

It does have built-in flash, but it is not that hot. With a guide number of 3.8 m (12.4 ft) @100 ISO. The camera does not have a hot shoe or other external flash connection.

See link below