At a bakery, a customer with a purchase amount of under $20 has a probability of 0.4 of using a credit card for the purchase, while a customer with a purchase amount of $20 or over has a probability of 0.6 of using a credit card for the purchase. Data shows that 80 % of purchases at the bakery are under $20.

Given that a customer uses a credit card for a purchase, find the probability that the purchase amount was $20 or over.

Give the probability as adecimal, and if rounding give to4 decimal places.

The probability is