In October 1994. a flaw was discovered in the Pentium chip installed in many new personal computers.The chip produced an incorrect result when dividing two numbers. Intel, the manufacturer of the Pentium chip, initially announced that such an error would occur only once in 9 billion divides, or

"once in every 27,000 years" for a typical user;

consequently, it did not immediately rcplace the chip. Assume the probability of a divide error with the Pentium chip is, in fact, ~~.ooo.ooo.ooo.

a. For a division performed using the flawed Pentium chip, what is the probability that no error will occur'?

b. Consider two successive divisions performed using the flawed chip. What is the probability that neither result will be in error'? (Assume that any one division has no impact on the result of any other division performed by the chip.)