Multiple choice

Two symmetrical dice are thrown at a time. If the sum of points on them is 7, the chance that one of them will show a face with 2 points is

  1. $\dfrac{1}{8}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{2}{3}$
  4. $\dfrac{2}{8}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Possible outcomes for sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total = 6. Outcomes with at least one 2: (2,5), (5,2). Probability = 2/6 = 1/3.

AI explanation

When two dice are thrown, the possible outcomes that sum to 7 are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), giving 6 total favorable combinations for the condition. Out of these 6 outcomes, the combinations (2, 5) and (5, 2) show a face with 2 points, making the favorable count 2. Using the conditional probability rule, 2 divided by 6 simplifies to 1/3. The probability is 1/3.

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