1.1111111111 x 2.2222222222=?

Question

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Answer 1

The problem is char table[] = {} that is an empty array, then you can't assign value in it, you may need to create it with a size

char[] table = new char[str.length()];

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There is a better to do this which is str.toCharArray(). Also when you return true/false based on a condition, just return the condition

public static boolean myMethod(String str) {
    char[] table = str.toCharArray();
    return table[table.length - 1] == 'a' || table[table.length - 1] == 'e';
}

Also Scanner is a bit easier to use, and if (myMethod(a)) is enough as condition

Scanner in = new Scanner(System.in);
System.out.println("Please enter any word you like:");
String a = in.nextLine();
if (myMethod(a)) {
    System.out.println("Word has char 'a' or 'e' at the end of the word.");
} else {
    System.out.println("Word doesn't have char 'a' or 'e' at the end of the word.");
}

Answer 2

Arrays are of fixed sizes. Your array is essentially of length 0. Try something like

char table[]= new char[str.length()];

Answer 3

If you must use a for loop you can use this, which is essentially (now that I look) the same method as azro's except that the toCharArray() method is explicitly written out as a loop...

if (str == null || str.length() < 1) return false;

char[] chars = new char[str.length()];
for (int i = 0; i < chars.length; i++) chars[i] = str.charAt(i);
return (chars[chars.length - 1] == 'a' || chars[chars.length - 1] == 'e');