Each position in a random drawing order has the same color proportions as the original bag, so $P(\text{second red})=5/15=1/3$: **B**. Without replacement this also follows from $(5/15)(4/14)+(10/15)(5/14)=1/3$.
More Probability and Statistics questions
GATE 2025 PI Q58– Marketing expenditure x and annual profit y over three years are (3,22),(4,27),(6,36), in…
GATE 2024 PI Q31– A continuous variable has density f(x) = K/4 on 0 ≤ x ≤ 1, and zero otherwise. Find K…
GATE 2024 PI Q45– Seven mixed cards numbered 1–7 are in a box. One is drawn randomly and known to be odd.…
GATE 2023 PI Q14– Three unbiased coins are tossed. Given that at least two outcomes are tails, find the…
GATE 2023 PI Q37– Two cards are drawn successively without replacement from a standard 52-card deck. Find…
GATE 2022 PI Q25– A lot has ten spur gears, one defective. Three are drawn randomly without replacement.…