Multiple choice

A dice is thrown twice.The probability that 5 will not come up either of the time is

  1. $\displaystyle\frac{35}{36}$
  2. $\displaystyle\frac{25}{36}$
  3. $\displaystyle\frac{1}{36}$
  4. $\displaystyle\frac{11}{36}$
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B Correct answer
Explanation

Probability of getting a 5 in one throw is 1/6. Probability of not getting a 5 is 5/6. For two throws, the probability of not getting a 5 at all is (5/6) * (5/6) = 25/36.

AI explanation

When a dice is thrown twice, the total number of possible outcomes is 36. The probability of not getting a 5 on a single throw is 5/6, so using the multiplication rule of probability for independent events, the probability that 5 will not come up either time is 5/6 multiplied by 5/6, which equals 25/36.

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