A method of brewing a beverage, such as freshly brewed coffee, in an electrical, automatic beverage brewer (10) with a rotatable mixing chamber (12) for mixing water (109) from a hot water tank (28) with dry beverage ingredient (108) having a closed top (7) and an open bottom (3, 66) to which is releasably mounted a brew basket (14) with an open top (19) for fluid communication with the mixing chamber (12) through the open bottom (3, 66). Before mounting, the brew basket (14) is loaded with a filter (105) and dry beverage ingredient (109). The mixing chamber (12) with the brew basket (14) attached is then automatically turned upside down (FIG. 6) to dump the dry beverage ingredient (109) out of the filter (105) and onto the closed top (7) of the rotatable mixing chamber (12). A preselected amount of water (109) is then infused into the mixing chamber (12) to a level beneath the open bottom (3) and filter (105) and onto the dry beverage ingredient (109) for mixing therewith. After a preselected mixing time period is passed the mixing chamber (12) and mounted brew basket (14) is automatically turned right side up to pass the beverage (110) through the filter (105) and out of the drain hole (90) of the brew basket (14). After the mixing chamber (12) has been returned to an upright position, pressurized air (44, 46, and 48) is automatically injected into the mixing chamber (12) to hasten the passage of beverage (110) through the filter (105) and out of the drain hole (90).