A coin is tossed thrice and all the eight outcomes are assumed equally likely. In which of the following cases are the following events `A` and `B` are independent? `A=` the first thrown results in head, `B=` the last thrown results in tail `A=` the number of heads is odd, `B=` the number of tails is odd `A=` the number of heads is two, `b=` the last throw results in head

Explanation

Sample space, S= (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
Sample space contains 36 elements,
A=, Number four appears on first die
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