The GATE Grind

GATE 2024 IN – Question 35

Engineering Mathematics · Probability and statistics · 1 mark · Numerical answer

Indian Premier League has divided the sixteen cricket teams into two equal pools: Pool-A and Pool-B. Four teams of Pool-A have blue logo jerseys while the rest four have red logo jerseys. Five teams of Pool-B have blue logo jerseys while the rest three have red logo jerseys. If one team from each pool reaches the final, the probability that one team has a blue logo jersey and another has a red logo jersey is ________ (rounded off to one decimal place).

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Show answer and explanation

Correct answer: 0.5 to 0.5

Explanation

Assuming equally likely finalists within each pool, the two disjoint possibilities are blue A/red B and red A/blue B.

Probability is (4/8)(3/8)+(4/8)(5/8)=32/64=**0.5**.