Billy is playing poker. He has the two of clubs, the three of clubs, the four of clubs, and the six of clubs in his hand. The only other player at the table has already been dealt five cards. Her hand is the five of clubs, the ten of clubs, the king of hearts, the king of spades, and the two of diamonds. If the next card that Billy gets is a club, he wins the hand with a flush. If he isn’t dealt a club, then the other player wins with a pair of kings. What is the probability that Billy will lose the game (i. e. not get a club)?