Step 1 :To solve this problem, we need to determine the total number of two-digit odd numbers in April and divide that by the total number of days in April.
Step 2 :April has 30 days, so that is the denominator of the probability fraction.
Step 3 :For the numerator, we count the two-digit odd numbers, which are 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29.
Step 4 :That's a total of 10 two-digit odd numbers.
Step 5 :The probability is calculated as the number of two-digit odd numbers divided by the total number of days in April.
Step 6 :The calculation is \( \frac{10}{30} \)
Step 7 :Simplifying the fraction, we get \( \frac{1}{3} \)
Step 8 :Final Answer: \(\boxed{\frac{1}{3}}\)