Country a inadvertently launches ten guided missiles—six armed with nuclear warheads—at country b. in response, country b fires seven antiballistic missiles, each of which will destroy exactly one of the incoming rockets. the antiballistic missiles have no way of detecting, though, which of the ten rockets are carrying nuclear warheads. what are the chances that country b will be hit by at least one nuclear missile? larsen, richard j.. an introduction to mathematical statistics and its applications (p. 115). pearson education. kindle edition.\