Question
Download Solution PDFThe probability of getting a total of 7 on two dice thrown together is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe 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 \(\frac{6}{36}\)
Last updated on Jun 13, 2025
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