The probability of spinning an even number is 2/5, since there are two even numbers (2 and 4) out of a total of five numbers.
The probability of flipping heads is 1/2, since there are two equally likely outcomes (heads or tails) for a fair coin.
To find the probability of both events occurring, we multiply the probabilities:
P(even number and heads) = P(even number) x P(heads) = (2/5) x (1/2) = 1/5
Therefore, the probability of spinning an even number and flipping heads is 1/5.