Multiple choice

A dice is thrown once. Find the probability of the event $E$ such that o utcome is less than 5

  1. $\displaystyle \frac { 1 }{ 3 } $
  2. $\displaystyle \frac { 2 }{ 3 } $
  3. $\displaystyle \frac { 1 }{ 6 } $
  4. $\displaystyle \frac { 5 }{ 6 } $
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B Correct answer
Explanation

A standard die has outcomes {1, 2, 3, 4, 5, 6}. The outcomes less than 5 are {1, 2, 3, 4}. The probability is 4/6 = 2/3.

AI explanation

By the classical definition of probability, the total number of possible outcomes when a die is thrown is 6. The favorable outcomes for getting a number less than 5 are 1, 2, 3, and 4, giving 4 favorable outcomes. The required probability is 4 divided by 6, which simplifies to 2/3.

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