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# Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 4, July 2015

A teacher proposes to his class to determine their grades by rolling two dice. The smaller number will be the grade. If the same number appears twice, this number will be the grade.

• What is the probability to receive a 6?
• What is the probability to receive a 1?
• What is the average grade?

## Solution

The easiest way to answer this riddle is to first enter all possible combinations in a table. Remember, the lower value "wins". In total, 36 variants are considered.

What is the probability to receive a 6?
This comparison shows that only once it is likely to receive a 6, particularly when the six is rolled twice. Its probability is 1 in 36.

What is the probability to receive a 1?
The grade 1 may be noted 11 times as its probability is 11 in 36 (or 30.56%).