Probability of random drawing?

Smuggler mixes diamond beads among glass beads in the proportion of one diamond bead per 1000 glass beads. Inspector examines a sample of 100 beads. What is the probability that the inspectors sample will contain at least one diamond bead; that is, what is the probability that the smuggler will be caught(use an asymptotic approx. to the Binomial to obtain a numerical answer)?