Question

A computer can be classified as either cutting dash edge or ancient. Suppose that 99​% of computers are classified as ancient.​(a) Two computers are chosen at random. What is the probability that both computers are ancient​?​(b) Five computers are chosen at random. What is the probability that all five computers are ancient​?​(c) What is the probability that at least one of five randomly selected computers is cutting dash edge​? Would it be unusual that at least one of five randomly selected computers is cutting dash edge​?

Answer 1

Explanation:

a )

probability of a computer being ancient = .99

probability of a computer being cutting-edge =.01

probability of two selected computer being old

= .99 x .99

= .98 or 98%

b )

probability of 5 selected computers being old

= .99 x .99 x .99 x .99 x .99

= .95 or 95%

c )

probability that at least one of the five selected computers is cutting-edge

= 1 - probability of 5 selected computers being old

= 1 - .95

= .05

5 %