GATE 2023 PI – Question 37

Engineering Mathematics · Probability and Statistics · 2 marks · Multiple choice

Two cards are drawn successively without replacement from a standard 52-card deck. Find the probability that their suits differ.

Show answer and explanation

Correct answer: (A) 39/51

Explanation

Once the first suit is fixed, 39 cards from the other three suits remain among 51 cards. Therefore probability = **39/51, A**.

GATE 2022 PI Q25 – A lot has ten spur gears, one defective. Three are drawn randomly without replacement.…
GATE 2022 PI Q38 – A normally distributed parameter was surveyed with n = 1000, giving confidence interval…
GATE 2021 PI Q47 – A discrete random variable has P(X=x)=1/2x, x = 1,2,… . Find E[X] (integer).
GATE 2021 PI Q48 – Airport security-screening time is exponential with mean 15 min. A passenger must clear…
GATE 2026 PI Q28 – Which ONE OR MORE values can be a correlation coefficient?
GATE 2026 PI Q31 – A box contains five coated and ten otherwise identical uncoated cutting inserts, randomly…