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James Chen TMUA Paper 2 · Q5

Paper 2ProbabilityAlgebra

Only Akshith, James, Pranav, Rujul, and Siddhant are in a room.

The probability that at least two of them share a birthday is PP. The probability that James shares a birthday with someone else in the room is QQ. The probability that no two of them share a birthday is RR.

Which option gives the correct inequality regarding PP, QQ, and RR?

AP<Q<RP<Q<R
BP<R<QP<R<Q
CQ<R<PQ<R<P
DQ<P<RQ<P<R
ER<P<QR<P<Q
FR<Q<PR<Q<P

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