The letters {a, b, c, d, e, f, g} are put in a random order.Each permutation is equally likely. Define the followingevents:
A: The letter b falls in the middle (with three before it andthree after it)
B: The letter c appears to the right of b, although c is notnecessarily immediately to the right of b. For example, “agbdcef”would be an outcome in this event.
C: The letters “def” occur together in that order (e.g.”gdefbca”)
a. Calculate P(A), P(B), P(C).
b. Calculate P(A|C)
c. Calculate P(B|C)
d. Calculate P(A|B)
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