An Experiment Consists of Picking at Random a Bit String $$E _ { 1 } \text { and } E _ { 2 }$$

Short Answer

an experiment consists of picking at random a bit string of length five. Consider the following events:
E1: the bit string chosen begins with 1;
E2: the bit string chosen ends with 1;
E3: the bit string chosen has exactly three 1's.
-Determine whether $$E _ { 1 } \text { and } E _ { 2 }$$ are independent.