GATE 2023 MT – Question 31
Three exam setters have probabilities $1/2,1/3,1/4$ of setting an easy paper. Each sets one paper. The probability that at least one paper is easy is ______ (two decimal places).
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Show answer and explanation
Correct answer: 0.74 to 0.76
Explanation
Assuming independent setters, $P(\text{none easy})=(1-1/2)(1-1/3)(1-1/4)=1/4$.
Therefore $P(\text{at least one easy})=1-1/4=\boxed{0.75}$.