GATE 2022 ST – Question 57
At each repeated food experiment,70% of cats previously eating A choose A,and 50% previously eating B choose A. Initially 40% ate A in experiment 1. Find the percentage choosing A in experiment 3,to one decimal.
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Show answer and explanation
Correct answer: 61.5 to 61.7
Explanation
If p_j is the A fraction,then p_(j+1)=.7p_j+.5(1−p_j)=.5+.2p_j. Starting p₁=.4 gives p₂=.58 and p₃=.5+.2·.58=.616. The requested percentage is **61.6**.