In a magnetic storage device, three attempts are made to read data before an error recovery procedure that repositions the magnetic head is used. The error recovery procedure attempts three repositionings before an “abort’’ message is sent to the operator. Let s denote the success of a read operation f denote the failure of a read operation F denote the failure of an error recovery procedure S denote the success of an error recovery procedure A denote an abort message sent to the operator.

Describe the sample space of this experiment with a tree diagram.

Let A denote the event that a weight exceeds 11 grams, let B denote the event that a weight is less than or equal to 15 grams. and let C denote the event that a weight is greater than or equal to 8 grams and less than 12 grams. Describe the following events.

(b) AUB

(d) A'

(c) ANB

(e) AUBUC

(f) (AUC) (g) ABOC (h) BC (i) AU (BNC)