Multiple choice

A dies is thrown until a score of less than $5$ point is obtained. The probability of obtaining not less than $2$ points on the last throw is:

  1. $\dfrac {3}{4}$
  2. $\dfrac {1}{4}$
  3. $\dfrac {5}{8}$
  4. $\dfrac {2}{7}$
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A Correct answer
AI explanation

The experiment ends when a score of less than 5 points is obtained, meaning the last throw must be a 1, 2, 3, or 4. Within this stopping condition, we must find the probability that the score is not less than 2, meaning it must be a 2, 3, or 4. Because each valid score is equally likely, the probability is the ratio of the three favorable outcomes to the four possible outcomes. This yields a probability of 3 divided by 4.