Final answer:
To find the probability of drawing 5 cards of the same suit from a standard deck, calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
Step-by-step explanation:
To calculate the probability that all 5 cards drawn from a standard deck will be of the same suit, we need to determine the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes is the number of ways to draw 5 cards from a deck of 52, which can be calculated using the combination formula: C(52, 5) = 52! / (5!(52 - 5)!).
The number of favorable outcomes is the number of ways to draw 5 cards of the same suit, which is 4 (one for each suit).
Therefore, the probability of drawing 5 cards of the same suit is the number of favorable outcomes divided by the total number of possible outcomes: P = 4 / C(52, 5).