Multiple choice

Tow uniform dice marked 1 to 6 tossed together. The probability of the total 7 in a single throw is

  1. $5/36$
  2. $5/12$
  3. $2/31$
  4. $1/6$.
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D Correct answer
Explanation

Outcomes summing to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), giving 6 favorable outcomes out of 36. The probability is 6/36 = 1/6.

AI explanation

When two uniform dice are tossed, the total number of possible outcomes in the sample space is 6 multiplied by 6, which equals 36. The favorable outcomes for achieving a total of 7 are the pairs (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), giving exactly 6 favorable combinations. By the classical definition of probability, we divide the 6 favorable outcomes by the 36 total outcomes, which simplifies to 1 over 6.

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