Question

A standard pair of six sided dice is rolled what is the probability of rolling a sum greater than or equal to 11

Answer 1

The probability of rolling a sum greater than or equal to 11 is 1/12

Probability is the likelihood for an event to occur. The maximum Probability of an event is 1 which is equivalent to 100%.

Probability is expressed as;

probability = sample space / total outcome

sample space = sum ≥ 11

then we have this;

5+6 , 6+5, 6+6,

This means that there are 3 possible outcome for sum≥11

Total outcome = 6 × 6 = 36

therefore, The probability of rolling a sum greater than or equal to 11

= 3/36 = 1/12

Answer 2

The diagram below shows all the possible outcomes from rolling a pair of six sided dice.

The first row and first columns represents the numbers on each die. The numbers in the other rows and columns are outcomes for each roll. Thus, the total number of outcomes is the total number of pairs in the other rows and columns.

Total number of outcomes = 36

Number of outcomes with sum greater than or equal to 11 are the circled pairs. They are 3

Thus, the probability of rolling a sum greater than or equal to 11 is

3/36 = 1/12