Question

A firm buys 3 shipments of parts each month. The purchasing agent selects at random from among four in-state suppliers and six out-of-state suppliers. What is the probability that orders are placed with
a) The in-state suppliers only
b) The out-of-state suppliers only
c) At least one in- state suppliers

Answer 1

The probability that orders are placed with

a) The in-state suppliers only is:

$P = 4/10×3/9×2/8 = 0.033$ or 3.3%.

b) The out-of-state suppliers only is:

$P = 6/10×5/9×4/8 = 0.1667$ or 16.67%.

c) At least one in-state suppliers is:

$P = 4/10 = 0.4$ or 40%.