How permission can be checked at runtime without throwing SecurityException?

This is another solution as well

PackageManager pm = context.getPackageManager();
int hasPerm = pm.checkPermission(
    android.Manifest.permission.WRITE_EXTERNAL_STORAGE, 
    context.getPackageName());
if (hasPerm != PackageManager.PERMISSION_GRANTED) {
   // do stuff
}

You can use Context.checkCallingorSelfPermission() function for this. Here is an example:

private boolean checkWriteExternalPermission()
{
    String permission = android.Manifest.permission.WRITE_EXTERNAL_STORAGE;
    int res = getContext().checkCallingOrSelfPermission(permission);
    return (res == PackageManager.PERMISSION_GRANTED);            
}