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A box of 100 bolts contains eight that are defective. Two bolts are selected at random from the box, without replacement.

(a) What is the probability that at least one bolt will be defective? Order does not matter.
(b) What is the probability that both bolts are defective?
(c) What is the probability that the second bolt is defective given that the first bolt is defective?
(d) Let event A be that the first bolt is defective, and event B that the second bolt is defective. Are events A and B independent?

Respuesta :

Answer:

A. The probability that at least one bolt will be defective is 2/25+8/99=398/2475 or =0.16

B.8/99

C.8/100+8/99=1592/9900=0.16

D. No event A and B are not independent but rather they are dependent

Step-by-step explanation:

Since the probability is without replacement definitely both events are dependent because the outcome of the second event will be affected by the outcome of the first event

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