I googled "deck of 52 playing cards" and found this example. You need to make sure you understand how a deck of cards is set up. There are 52 cards in a deck and these cards are divided into 4 suites--hearts, diamonds, spades, and clubs. So each suite has 13 cards (52 divided by 4 = 13). Each suite contains the following: 2,3,4,5,6,7,8,9,10, Jack, Queen, King, Ace, so there are 4 of everything in a deck. When you have a dependent or overlapping problem, you must remember not to count a card twice. For example, if you have a question that says "What is the probability of selecting a Jack or a diamond given a standard deck of 52 cards?", you must remember that there are 4 Jacks, so the probability of selecting a Jack is 4/52. There are 13 diamonds, BUT you have already counted the JACK OF DIAMONDS, so DON'T count it twice, just use 12 diamonds instead of 13, so the probability of selecting diamonds is 12/52. Since the word "or" means ADD in probability you would add 4/52 + 12/52 = 16/52 or simplified to 4/13.
This is a typical problem that you might see on a Post test or the EOCT. You are expected to know how to add, multiply, and simplify fractions. This was part of your 5th and 6th grade Math standards, so if you have trouble with it, you really need to find online website that can help you practice working with fractions. Math is like every anything else in life--it would want to improve, you have to be willing to work hard and practice, practice, practice.
Click on the link below to download the chart.
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