Multiple choice

When $2$ dice are thrown simultaneously what is the probability that there is exactly one $5$?

  1. $\dfrac {4}{36}$
  2. $\dfrac {5}{18}$
  3. $\dfrac {6}{23}$
  4. $\dfrac {7}{24}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total outcomes = 36. Outcomes with exactly one 5: (5,1), (5,2), (5,3), (5,4), (5,6), (1,5), (2,5), (3,5), (4,5), (6,5). There are 10 such outcomes. Probability = 10/36 = 5/18.

AI explanation

When two dice are thrown, the total number of outcomes is 36. The favorable outcomes for exactly one 5 are (5, 1), (5, 2), (5, 3), (5, 4), (5, 6), (1, 5), (2, 5), (3, 5), (4, 5), and (6, 5), which equals 10 outcomes. The probability is 10 divided by 36, which simplifies to 5/18. The probability is 5/18.

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