The probability of getting a total of 7 on two dice thrown together is:

The correct answer is \(\mathbf{\frac{6}{36}}\)

Key Points

•  The probability of a particular event E occurring is given by \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes or sample space.}}\)
• The sample space of this problem, where two dice are thrown together is 36
• The sum of values on the dice resulting in a total of 7 is given by the following table:

  Serial number	Value of observation in dice 1	Value of observation in dice 2
  1	1	6
  2	6	1
  3	3	4
  4	4	3
  5	2	5
  6	5	2

• The number of favourable outcomes, in this case, is 6.
• Let F be the event of getting a 7 when two dice are thrown together.
• Therefore P(F)=\(\frac{6}{36}\)

Important Points

•  Sample space is the set of all the possible outcomes in the given experiment. In this case, there are 36 outcomes possible when 2 dice are thrown together.
• Event denotes the probability of getting a single outcome of an experiment. In this problem, the event is to get the value of 7.
• The outcome is the result of the experiment.

Hence, the probability of getting a total of 7 on two dice thrown together is \(\frac{6}{36}\)