Your answers for the separate cases are correct. For the "either 5, red, or both" case, the probability is
[26 (any hearts or diamonds) + 2(5 of spades or clubs)]/52. That is NOT the sum of the probabilities of red or 5's.
Consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the probability of a red card or a card showing a 5 is drawn.
I figured the red cards would be 26/52 and the 5 would be 4/52. Would I add these two together for the answer of 28/52 or do I keep these separated?
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