The probability of spinning a prime number is 3/5 and flipping tails is 1/2. If you multiply those probabilities you get the answer: 3/10.
The probability of spinning an even is 1/3. The probability of flipping tails is 1/2. The probability of spinning an odd number is 2/3. Multiply the fractions together and you get the answer: 2/18 reduced is 1/9.
The probability of not spinning a red is 2/3. The probability of flipping a tails is 1/2. The probability of not spinning an even number is 2/3. Multiply the fractions to get the answer: 4/18 which reduces to 2/9