You Roll A Pair Of Dice. What Is The Probability Of Rolling A 2 And Then Rolling A 7?
You roll a pair of dice. What is the probability of rolling a 2 and then rolling a 7?
Answer:
Probability of rolling a 2= 1/36
Probability of rolling a 7= 6/36 or 1/6
Step-by-step explanation:
For this kind of probability, two things should be considered. First, how many possibilities are there in total and second, the number of times the desired outcome will occur.
For example:
A dice is rolled once. What is the probability of it resulting to 1?
There are six total possibilities that can occur in a single roll of dice. The following are: 1, 2, 3, 4, 5, and 6
Out of all the six possibilities, 1 can only occur once; thus, the probability is equal to 1/6.
Going back to the problem, a 2 dice probability chart would be very useful. I have attached a picture of sample chart I made.
The cells in pale yellow color signifies the possible outcome of each dice. On the other hand, the cells in white is the sum of the outcome of the pair of dice.
To answer the question:
- There are 36 possible outcomes for rolling a pair of dice as shown in the chart below.
- Number of occurrence of having a sum of 2 based on the chart is only 1 while there are 6 for a sum of 7.
- The probability of rolling two dice and getting a sum of 2 is 1/36.
- The probability of rolling two dice and getting a sum of 7 is 6/36 or 1/6.
For further practice of dice probability problems refer to the links below:
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