Assuming independent test outcomes, the probability none passes is $(1-1/6)(1-1/4)(1-1/2)=(5/6)(3/4)(1/2)=5/16$. Its complement is $1-5/16=11/16=.6875$,rounded **0.69**. Independence is implicit in the keyed result; marginal probabilities alone would not determine the union probability.
More Probability and Statistics questions
GATE 2023 AG Q49– Convective storms occur with probability.7 and magnitude density f 1(x)=e-x for x>0.…
GATE 2022 AG Q12– Find the probability of 53 Sundays in a randomly selected leap year.
GATE 2021 AG Q23– P(A)=.35,P(B)=.25,and A, B are mutually exclusive. Find P(A A∪B),to three decimals.
GATE 2021 AG Q49– A 9-person committee has 4 B.Tech,3 M.Tech,2 PhD students. Remove3 uniformly at random.…
GATE 2026 AG Q12– A box contains one red and two blue balls. After each random draw, the ball is returned.…
GATE 2025 AG Q15– Find the median of 154,130,144,137,156,146,138,149,160,138.