Answer:
0.0288 = 2.88%
Step-by-step explanation:
First we need to know that in one standard deck of 52 cards we have 13 ace cards, 13 spade cards, and 4 four cards.
If we want a combination of ace, spade and four, we calculate the probability of each one, and then multiply them all:
The probability of getting an ace is 13/52 = 1/4
The probability of getting a spade is 13/52 = 1/4
The probability of getting a four is 4/52 = 1/13
As the order of our three cards doesn't matter, we have 3! (factorial of three) = 6 different ways of having a group of ace, spade and four, so our total probability will be multiplied by 6.
So, our probability is:
(1/4) * (1/4) * (1/13) * 6 = 6/208 = 3/104 = 0.0288 = 2.88%
