GATE_AE_2027_MOCK_03_Q08
GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories)
MCQ · 2 Marks
General Aptitude • Quantitative Aptitude • Permutations, Combinations & Probability
A telemetry packet has 3 independent parity check bits. Each parity check has a probability 0.10 of failing. What is the probability that all 3 parity checks pass successfully?
(A) 0.729
(B) 0.900
(C) 0.810
(D) 0.001
Answer Key:
A
Step-by-Step Verified Solution
### Solution: P(pass) = 1 - 0.10 = 0.90. For 3 independent checks: P = (0.90)^3 = 0.729. Correct: A.