Question

During a space shot, the primary computer system is backed up by two secondary systems. They operate independently of one another and each is \(90\%\) reliable. The probability that all three systems will be operable at the time of launch is

• A. \(0.729\)
• B. \(0.81\)
• C. \(0.90\)
• D. \(0.27\)

Hint:

For independent events, \[ \boxed{ P(\text{All occur}) = \prod P_i } \] Here, \[ 0.9^3=0.729. \]

Answer 1

The Correct Option is A