Java try catch for do while loop not looping

I was having some problem when trying to do a try catch for do while loop:

try{
    do {
        System.out.println("Enter your option: ");
        choice = sc.nextInt();
        switch (choice) {
            case 1:
                break;
            case 2:
                break;
            case 3:
                break;
            case 4:
                break;
            case 5:
                break;

        }
    } while (choice != 6);
    }catch(InputMismatchException e){
        System.out.println("Please enter option between 1-6.");
    }

What I am trying to do for the do while loop is when user entered anything other than 6 which is terminate, it will keep prompting for user input. For each case, it will go to certain method.

Then, I tried to do a try catch for InputMismatchException because my Scanner is taking integer from user input. However, after I entered alphabet instead of integer, the program just terminated itself. I am trying to do like when user entered alphabet, it will keep on prompting user for correct input.

Any ideas? Thanks in advance.

I was thinking if I should make another do while to wrap the entire try catch?