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Part BCSIR NET June 20251-is-not-prime-so-the-odd-faces-do-not-all-carry-the-doubled-weight

1 is not prime so the odd faces do not all carry the doubled weight

A biased six-faced die is tossed once. Suppose that the probability of any prime number showing up is twice that of any non-prime number showing up. Then, the probability that an odd number will show up is

  1. A.1/3
  2. B.2/3
  3. C.4/9
  4. D.5/9

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward, and why this one tests boundary and endpoint.

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50 are analysed free — try those first.

The trap it tests

Boundary and endpoint

The statement turns at the edge of the interval, the domain, or the parameter range.

Drill statements like this

Related counterexample: Pairwise independent events are mutually independent

More on this topic

The chapter behind this: Probability axioms, conditioning and independence — free to read

From ProbabilityAxioms, conditional probability, independence, Bayes

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