Give the exact integer value for the number of 7 node rooted binary trees. If one of them is chosen at random, what is the probability of the event a, that the number of nodes in the left subtree and the number of nodes in the right subtree differ by exactly two? Explain. What is the probability of the event b that the random tree has height 6? Explain all your answers.
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pe = no.of favorite outcome / total no. of outcome
= 2/3
= 2/3
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