A machine has three independent components

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

A

B

and

C

. The machine works if component

A

works and at least one of

B

C

works. Which of the following event expressions correctly represents the event that the machine works? (a)

A \cap B \cap C

(b)

A \cap (B \cup C)

(c)

A \cup (B \cap C)

(d)

(A \cup B) \cap C