In the Virginia instant lottery there are ten different 5 Sc

In the Virginia instant lottery, there are ten 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. Seven of the seven top prizes are still available. If you buy five of these tickets and outcomes are independent, the probability of winning at least once in these five draws is

Solution

Here, the probability of winning is

P(win) = 1/4.37 = 0.228832952

Thus,

P(loss) = 1 - 0.228832952 = 0.771167048

Thus,

P(win at least one) = 1 - P(lost all 5)

= 1 - 0.771167048^5

= 0.727264093 [ANSWER]