Final answer:
The probability of getting a 3-card hand containing all red cards from a standard deck of 52 cards is approximately 11.76%.
Step-by-step explanation:
To find the probability that a randomly dealt 3-card hand contains all red cards from a standard deck of 52 cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.
There are 26 red cards in a deck of 52 cards.
For the first card, there are 26 red cards out of 52 cards.
After that, for the second card, there are 25 red cards left out of 51 cards.
Finally, for the third card, there are 24 red cards left out of 50 cards.
Therefore, the probability is calculated as:
P(all red cards) = (26/52) * (25/51) * (24/50) = 0.1176 or 11.76%