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 find the probability of rolling a 2, P(2), after rolling a fair die 100 times and observing 35 sixes, we need to calculate the number of times a 2 occurred in the 100 rolls.
Given that a fair die has 6 sides and each side has an equal chance of landing face up, the probability of rolling a 2 on a single roll is 1/6.
Since we rolled the die 100 times, we can multiply the probability of rolling a 2 on a single roll (1/6) by the number of rolls (100) to get the expected number of 2s rolled.
Expected number of 2s = (1/6) * 100 = 16.67
However, we observed 35 sixes, not 2s. Therefore, the probability of rolling a 2 would be zero, P(2) = 0.