• A typical dual-circuit vehicle braking system comprises two independent circuits. The first circuit acts on both front wheels and the driver side rear wheel. The second circuit acts on both front wheels and the passenger side rear wheel. Pressing the brake pedal forces fluid out of the master cylinder along the circuit brake pipes to "slave" cylinders at the wheels. Each circuit has one slave cylinder at each wheel that it connects. The slave cylinders expand, and the wheels are braked. The master cylinder has a reservoir that keeps it full of fluid. The circuits operate independently. The slave cylinders operate independently from each other and from the master cylinder. The slave cylinders have a failure rate in regular use of 5% on the rear wheels, and 2% on the front wheels. The master cylinder has a failure rate in regular use of essentially zero. A vehicle will be braked if at least one of the brakes operates. 
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• Find the probability that a vehicle will be braked on any given occasion when the brake pedal is pressed.