A first type of prediction, for controlling execution of at least one instruction by processing circuitry, is based at least on a first prediction table storing prediction information looked up based on at least a first portion of branch history information stored in branch history storage corresponding to a first predetermined number of branches. In response to detecting an execution state switch of the processing circuitry from a first execution state to a second, more privileged, execution state, use of the first prediction table for determining the first type of prediction is disabled. In response to detecting that a number of branches causing an update to the branch history storage since the execution state switch is greater than or equal to the first predetermined number, use of the first prediction table in determining the first type of prediction is re-enabled.