Can someone explain to me with an example what a predictive conditional is?
Does this type of conditional have necessary and sufficient conditions?
A predictive conditional sentence concerns a situation dependent on a hypothetical (but entirely possible) future event. The consequence is normally also a statement about the future, although it may also be a consequent statement about present or past time (or a question or order).
If I become President, I'll lower taxes.
If it rains this afternoon, everybody will stay home.
If it rains this afternoon, then yesterday's weather forecast was wrong.
If it rains this afternoon, your garden party is doomed.
What will you do if he invites you?
If you see them, shoot!
These examples should answer the first question.
The second question is whether these statements have necessary and sufficient conditions. These concepts are relevant for material conditionals. If one can symbolize the English predictive conditional as a material implication, A → B, then one can use that to find the necessary and sufficient conditions. As defined in forallx: Calgary Remix (page 33):
A sentence can be symbolized as A → B if it can be paraphrased in English as ‘If A, then B’ or ‘A only if B’.
P. D. Magnus, Tim Button with additions by J. Robert Loftis remixed and revised by Aaron Thomas-Bolduc, Richard Zach, forallx Calgary Remix: An Introduction to Formal Logic, Winter 2018. http://forallx.openlogicproject.org/ Wikipedia, "Fitch notation" https://en.wikipedia.org/wiki/Fitch_notation
Wikipedia, "Conditional sentence" https://en.wikipedia.org/wiki/Conditional_sentence#Implicative_and_predictive
Wikipedia, "Material conditional" https://en.wikipedia.org/wiki/Material_conditional
Wikipedia, "Necessity and sufficiency" https://en.wikipedia.org/wiki/Necessity_and_sufficiency