# Thread: Probability Question

1. ## Probability Question

If a production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. What is the probabily that drawing 6 slips (without replacement) that at least one of the shits will be unrepresented in the sample of workers

2. Originally Posted by TitaniumX
If a production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. What is the probabily that drawing 6 slips (without replacement) that at least one of the shifts will be unrepresented in the sample of workers
*Ahem* Mr F edit in red.

Let A be the random variable number of dayshift workers in sample.

Let B be the random variable number of swingshift workers in sample.

Let C be the random variable number of graveyardshift workers in sample.

Calculate $\Pr(A = 0) + \Pr(B = 0) + \Pr(C = 0) - \Pr(A = 0 \cap B = 0)$ $- \Pr(A = 0 \cap C = 0) - \Pr(B = 0 \cap C = 0)$.