In the virginia instant lottery, there are 10 different $5 scratcher games. your favorite, "hit the jackpot," is advertised to have a 1‑in‑4.37 chance of winning and a 1‑in‑664,457 chance of hitting the top prize of $200,000 . all of the seven top prizes are still available. a: if you buy five of these tickets and outcomes are independent, the probability of winning at least once in these five draws is?

b: if you buy five of these tickets and outcomes are independent, the probability that you lose all five times is

c: if you buy five of these tickets and outcomes are independent, the probability that you win all five times is?

d: if you buy five of these tickets and outcomes are independent, the probability that you will not win the jackpot is?