Multiple choice

Two fair dice are tossed simultaneously. Find the probability that the product of the numbers that land showing is at least $25$.

  1. $\displaystyle\frac{1}{36}$
  2. $\displaystyle\frac{1}{12}$
  3. $\displaystyle\frac{1}{9}$
  4. $\displaystyle\frac{1}{4}$
  5. $\displaystyle\frac{3}{2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total outcomes = 36. Favorable outcomes (product >= 25): (5,5), (5,6), (6,5), (6,6). There are 4 such outcomes. Probability = 4/36 = 1/9.

AI explanation

The total number of outcomes when two fair dice are tossed is 36. The favorable outcomes where the product is at least 25 are (5, 5), (5, 6), (6, 5), and (6, 6), totaling 4 outcomes. Using the classical probability formula, the probability is 4 divided by 36, which simplifies to 1/9.

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