Questions: Goal: Calculate probabilities involving 'or' Suppose you roll a special 34-sided die. What is the probability that the number rolled is a "1" OR a "2"?

Solution Steps

To find the probability of rolling a "1" or a "2" on a 34-sided die, we need to calculate the probability of each event and then add them together. Since these events are mutually exclusive (they cannot happen at the same time), the probability of either event occurring is the sum of their individual probabilities.

The die has a total of 34 sides.

The probability of rolling a "1" is given by: \[ P(1) = \frac{1}{34} \approx 0.02941 \]

The probability of rolling a "2" is given by: \[ P(2) = \frac{1}{34} \approx 0.02941 \]

Since the events are mutually exclusive, the probability of rolling a "1" or a "2" is the sum of the individual probabilities: \[ P(1 \text{ or } 2) = P(1) + P(2) = 0.02941 + 0.02941 = 0.05882 \]

Final Answer