What is the probability of dylan pulling any diamond from the deck

A standard conditional probability   Randomly drawing one card, each of the 54 cards in a deck has the same probability of being drawn, i.e.,  154154.  Since there are 13  diamond cards, the probability  of drawing a diamond card is 154∗13154∗13; there are 3 cards that are both face and diamond, so the probability of drawing such a card is 3/54.  If you use the conditional probability formula for event B (drawing a card that is diamond and face) given event A (drawing a card that is a diamond),  

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice