Fifty-five percent of the applications received for a particular credit card are accepted. among the next twelve applications, what is the probability that all will be rejected?

The probability would be 0.00007.

The probability that an applicant is rejected is given by 1-0.55 = 0.45.

The probability that all 12 of the next applicants are rejected is given by:
0.45^12 = 0.00007.