A company is marketing a new video game. Market research indicates that 42% of the the market has seen an advertisement for the new game. Suppose 29% of those who see the ad have purchased the game and 84% of those who have not seen the advertisement have not purchased the game. If you choose a person who purchased the game, what is the probability he or she saw the ad? Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).