Shuffle a standard $52-$card deck of cards and select one card.

$($a$)$ What is the probability of getting at least one ace or one face card? A face card is a king $($K$),$

queen $(Q),$ or jack $(J)$ in any of the four suits: $4,$diamond,diamond, or harr.

$($b$)$ Since MATLAB can repeat experiments very quickly, it can verify $($via relative frequency$)$ various

probabilities. Using at least ${10}^5$ trials each, use MATLAB to verify the two probability you

computed earlier in part $($a$).$ Be sure to set the "seed" to you student ID number so your results

are reproducible. Your code needs to simulate the actual experiment, and your code needs to be

logical and appropriately commented. It is suggested that you use the randperm command to

simulate shuffling the deck.

$($c$)$ Repeat parts $($a$)$ and $($b$)$ if two cards $($rather than one$)$ are selected from the deck.