Final answer:
The probability of randomly selecting a red suit or an 8 from a standard deck of playing cards is 15/26.
Step-by-step explanation:
To find the probability of randomly selecting a red suit or an 8, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
There are 26 red cards (13 hearts and 13 diamonds) and 4 eights in a standard deck of 52 cards.
Since the red suits and the eights are mutually exclusive, we can add the number of favorable outcomes for each and divide by 52 (total number of cards) to get the probability.
So, the probability of randomly selecting a red suit or an 8 is 30/52, which simplifies to 15/26.