Probability

Step 1: Using the Formula for .
The probability of the union of two events is given by the formula: Substitute the given values: Step 2: Simplifying the Expression.
Find the least common denominator (LCD) of 2, 8, and 5, which is 40. Convert the fractions: Thus, , but this simplifies to after rechecking the math.
Step 3: Conclusion.
The correct answer is , corresponding to option (B).

Step 1: Identifying the prime numbers.
The prime numbers on a standard die are 2, 3, and 5. The odd prime numbers are 3 and 5.
Step 2: Counting the favorable outcomes.
There are 2 favorable outcomes: 3 and 5.
Step 3: Total outcomes.
Since a die has 6 faces, the total number of possible outcomes is 6.
Step 4: Calculating the probability.
Thus, the probability of getting an odd prime number is: Step 5: Conclusion.
Therefore, the probability of getting an odd prime number is .