A bank is issuing new 7digit credit card numbers to patrons

A bank is issuing new 7-digit credit card numbers to patrons. What is the probability that someone will recieve a card where the digits in the 1st and 5th places come from {1,2,3}, the digits in the 2nd and 4th places come from {4,5,6,7}, and the digits in the 3rd, 6th, and 7th places comes from {0,8,9}?

P(ans) = 3/10 * 4/10 * 3/10 * 4/10 * 3/10 * 3/10 * 3/10 =0.0000003888