If you roll a fair die 100 times and 35 of the rolls result in a six, what would be the probability of the outcome of a 2, P(2)?
P(2) = 0.02
P(2) = 2
P(2) = 35
P(2) = 0.35
56
0.02
To calculate the probability of rolling a 2 on a fair die, we need to know the total number of possible outcomes when rolling the die. Since a fair die has 6 sides numbered from 1 to 6, the total number of possible outcomes is 6.
Out of the 100 rolls, 35 of them resulted in a six. However, we are interested in the probability of rolling a 2, not a six.
Since a fair die has only one side numbered as 2, the number of successful outcomes is 1.
Therefore, the probability of rolling a 2 is given by the formula:
P(2) = number of successful outcomes / total number of possible outcomes
P(2) = 1/6
So, the correct answer is:
P(2) = 0.167
To find the probability of rolling a 2, P(2), we need to know the number of rolls that resulted in a 2 out of the 100 total rolls.
From the given information, we know that out of the 100 rolls, 35 of them resulted in a six. However, this information does not provide us with the number of rolls that resulted in a 2.
Therefore, without any information about the number of rolls that resulted in a 2, we cannot determine the probability of rolling a 2.
The correct answer is that we do not have enough information to calculate P(2).