Answer: 169/175
Step-by-step explanation: To find the probability that Laura does not win the prize, we need to calculate the ratio of the number of raffle tickets that Laura does not have to the total number of raffle tickets sold.
Laura bought 12 raffle tickets, so the number of raffle tickets that she does not have is 350 - 12 = 338.
The probability that Laura does not win the prize is then given by:
Probability = (Number of raffle tickets that Laura does not have) / (Total number of raffle tickets sold)
Probability = 338 / 350
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.
Probability = (338 / 2) / (350 / 2)
Probability = 169 / 175
Therefore, the probability that Laura does not win the prize is 169/175.