While playing bridge recently, Ira Rate picked up his 13-card hand and found that it contained no spades. He promptly threw his cards down and declared that the deal had not been random. He read in a statistics textbook that

(a) the probability of being dealt a hand with no spades is less than 5 percent and

(b) this low a probability is sufficient evidence to show that the deal was not fair. Point out a flaw or two in his reasoning.