Mutual exclusivity gives $P(A\cup B)=.35+.25=.60$. Since $A\cap(A\cup B)=A$,conditional probability is $.35/.60=.583333$,or **.583**. The source’s slash notation means conditioning on the union.
More Probability and Statistics questions
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.
GATE 2024 AG Q25– A dataset has mean16 and variance25. Find coefficient of variation in percent, to two…
GATE 2024 AG Q26– Threshers P, Q, R pass an endurance test with probabilities1/6,1/4,1/2. Find probability…
GATE 2023 AG Q49– Convective storms occur with probability.7 and magnitude density f 1(x)=e-x for x>0.…