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Throwing a doublet

Two dice are thrown together. What is the probability of getting a doublet?

Show the answer and the worked solution

Correct answer: B.

1/6

Worked solution

  1. Doublets: (1,1), (2,2), …, (6,6) — 6 outcomes.
  2. Probability = 6/36 = 1/6.

Answer: 1/6.

The idea

Count the favourable outcomes directly when the sample space is small. Six doublets out of thirty-six is worth remembering.

Shortcut. Whatever the first die shows, the second must match it, which has probability 1/6 — no need to count the 36 outcomes.

Common trap. "1/3" — counting each doublet twice, as if (3,3) had a reversed order like (2,5) and (5,2); each doublet is one outcome, so 6/36.

Throwing a doublet — Probability Aptitude Question

Throwing a doublet: Two dice are thrown together. What is the probability of getting a doublet? Answer and worked solution on CodeKairo.

Question

Two dice are thrown together. What is the probability of getting a doublet?

Options

  1. 1/12
  2. 1/6
  3. 1/3
  4. 5/36
Show the answer and the worked solution

Correct answer: B. 1/6

Worked solution

  1. Doublets: (1,1), (2,2), …, (6,6) — 6 outcomes.
  2. Probability = 6/36 = 1/6.

Answer: 1/6.

The idea

Count the favourable outcomes directly when the sample space is small. Six doublets out of thirty-six is worth remembering.

Shortcut. Whatever the first die shows, the second must match it, which has probability 1/6 — no need to count the 36 outcomes.

Common trap. "1/3" — counting each doublet twice, as if (3,3) had a reversed order like (2,5) and (5,2); each doublet is one outcome, so 6/36.

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