<P> At this point, Khrushchev knew things the US did not: First, that the shooting down of the U-2 by a Soviet missile violated direct orders from Moscow, and Cuban antiaircraft fire against other US reconnaissance aircraft also violated direct orders from Khrushchev to Castro . Second, the Soviets already had 162 nuclear warheads on Cuba that the US did not then believe were there . Third, the Soviets and Cubans on the island would almost certainly have responded to an invasion by using those nuclear weapons, even though Castro believed that every human in Cuba would likely die as a result . Khrushchev also knew but may not have considered the fact that he had submarines armed with nuclear weapons that the US Navy may not have known about . (See the section above on "Depth charges against a Soviet submarine armed with nuclear weapons".) </P> <P> Khrushchev knew he was losing control . President Kennedy had been told in early 1961 that a nuclear war would likely kill a third of humanity, with most or all of those deaths concentrated in the US, the USSR, Europe and China; Khrushchev may well have received similar reports from his military . </P> <P> With this background, when Khrushchev heard Kennedy's threats relayed by Robert Kennedy to Soviet Ambassador Dobrynin, he immediately drafted his acceptance of Kennedy's latest terms from his dacha without involving the Politburo, as he had previously, and had them immediately broadcasts over Radio Moscow, which he believed the US would hear . In that broadcast at 9: 00 am EST, on October 28, Khrushchev stated that "the Soviet government, in addition to previously issued instructions on the cessation of further work at the building sites for the weapons, has issued a new order on the dismantling of the weapons which you describe as' offensive' and their crating and return to the Soviet Union ." </P> <P> At 10: 00 am, October 28, Kennedy first learned of Khrushchev's solution to the crisis with the US removing the 15 Jupiters in Turkey and the Soviets would remove the rockets from Cuba . Khrushchev had made the offer in a public statement for the world to hear . Despite almost solid opposition from his senior advisers, Kennedy quickly embraced the Soviet offer . "This is a pretty good play of his," Kennedy said, according to a tape recording that he made secretly of the Cabinet Room meeting . Kennedy had deployed the Jupiters in March of the year, causing a stream of angry outbursts from Khrushchev . "Most people will think this is a rather even trade and we ought to take advantage of it," Kennedy said . Vice President Lyndon Johnson was the first to endorse the missile swap but others continued to oppose the offer . Finally, Kennedy ended the debate . "We can't very well invade Cuba with all its toil and blood," Kennedy said, "when we could have gotten them out by making a deal on the same missiles on Turkey . If that's part of the record, then you don't have a very good war ." </P>

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