Final answer:
To find the probability of spinning two odd numbers in sequence on a wheel with five numbers, calculate the probability of getting an odd number on the first spin (2/5) and multiply it by the probability of getting an odd number on the second spin (2/5) resulting in 1/4. Therefore, the correct answer is a. 1/4.
Step-by-step explanation:
The question asks about the probability of getting two odd numbers when spinning a wheel numbered from 0 to 4 twice. Since odd numbers in this case are '1' and '3', there are two odd numbers out of five possibilities on each spin.
To find the probability of getting two odd numbers, we multiply the probability of getting an odd number on the first spin by the probability of getting an odd number on the second spin.
The probability of getting an odd number on one spin is 2/5 because there are two odd numbers out of five total numbers. Hence, the probability of getting two odd numbers in two spins is (2/5) × (2/5) = 4/25, which simplifies to 1/4. Therefore, the correct answer is a. 1/4.