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
To calculate the probability of rolling a 2 on a fair die, we need to know the total number of possible outcomes and the number of favorable outcomes. In this case, we are rolling the die 100 times and observing that 35 of those rolls result in a six.
The total number of possible outcomes when rolling a fair die is 6 (since there are 6 sides, numbered 1 to 6).
Since we are interested in the probability of rolling a 2, the number of favorable outcomes is 1 (since there is only one side with a 2).
So, the probability of rolling a 2, P(2), is given by the formula:
P(2) = (Number of favorable outcomes) / (Total number of possible outcomes)
P(2) = 1 / 6
Therefore, the correct answer is P(2) = 0.16 (or approximately 0.167)