if a die is rolled twice,what is the probability of a 2?
a die has six faces rit
when it is rolled twice you get
2/36=?
you can also use sample size okay
By "a 2" I assume you mean one or two 2's.
both rolls: 1/6 * 1/6 = 1/36
1st roll only: 1/6 * 5/6 = 5/36
2nd roll only: 5/6 * 1/6 = 5/36
total: 11/36
To calculate the probability of getting a 2 when a die is rolled twice, we need to consider the sample space and the favorable outcomes.
The sample space represents all possible outcomes when rolling the die twice, which is given by multiplying the number of possible outcomes for each roll. In this case, there are 6 possible outcomes for each roll, so the sample space is 6 x 6 = 36.
The favorable outcomes are the ones where a 2 is obtained. Since we are interested in getting a 2 on either roll, we can have it on the first roll, the second roll, or both. So there are three favorable outcomes: (2,1), (2,2), and (1,2).
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability of getting a 2 when a die is rolled twice is 3/36, which simplifies to 1/12.
So, the probability of rolling a 2 is 1/12.