A poll conducted on the proposed bonus plan for employees indicated that 40% of all female employees and 65% of all night-shift employees supported the plan. Also, 38% of all employees are women, 53% of all employees are night-shift workers, and 27% are day-shift females. If two employees are randomly selected, what is the probability that the first, a day-shift worker is a female, and the second, a night-shift worker is a male?

Do not round intermediate calculations. The final reported answers should be rounded to the nearest ten-thousandth (4 decimals).