With no explanation, label text_A→text_B with either "DON'T KNOW", "NO" or "YES".
text_A: On 16 February 1959, Castro was sworn in as Prime Minister of Cuba. In April, he visited the U.S. on a charm offensive where President Dwight D. Eisenhower privately refused to meet with him, sending instead sent Vice President Richard Nixon, whom he assumed that Castro would dislike, yet in reality, the two hit it off quickly. After meeting Castro, Nixon described him to Eisenhower as: "The one fact we can be sure of is that Castro has those indefinable qualities which made him a leader of men. Whatever we may think of him he is going to be a great factor in the development of Cuba and very possibly in Latin American affairs generally. He seems to be sincere. He is either incredibly naive about Communism or under Communist discipline-my guess is the former...His ideas as to how to run a government or an economy are less developed than those of almost any world figure I have met in fifty countries. But because he has the power to lead...we have no choice but at least try to orient him in the right direction".
text_B: Given Nixon's feelings toward Castro, and vice versa, if Nixon had won the presidency in 1960, is it plausible that not only would the Bay of Pigs invasion never have happened, but that Cuba would not choose to harbor Soviet nuclear weapons?
YES.