Every cereal box has a gift inside, but you cannot tell from the outside what the gift is$.$ The store manager assures you that $22$ of the $41$ boxes on the shelf have the secret decoder ring. The other $19$ boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

$($Give answer as a decimal correct to four decimal places.$)$