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tmua.me Medium Set B Paper 2 · Q16

Paper 2Logic & proofProbability

Two coins are tossed independently. Their probabilities of landing heads are pp and qq, where 0<p<10<p<1 and 0<q<10<q<1.

Consider the statements

  • P: p≠qp\ne q.
  • Q: The probability of obtaining exactly one head is greater than 1/21/2.

Is P necessary and/or sufficient for Q?

AP is necessary and sufficient for Q
BP is necessary but not sufficient for Q
CP is sufficient but not necessary for Q
DP is neither necessary nor sufficient for Q

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