You draw two cards from a standard deck of 52 cards withoutreplacing the first o

Question

You draw two cards from a standard deck of 52 cards withoutreplacing the first one before drawing the second. A).Are theoutcomes independent and why? B).Find P(3 on the 1st card and 10 on 2nd). C)Find p(10 on 1st card and 3on 2nd) D). find the proablity of drawing 10 and 3 in eitherorder I do not understand this, I have been confused betweenthe independant and dependant You draw two cards from a standard deck of 52 cards withoutreplacing the first one before drawing the second. A).Are theoutcomes independent and why? B).Find P(3 on the 1st card and 10 on 2nd). C)Find p(10 on 1st card and 3on 2nd) D). find the proablity of drawing 10 and 3 in eitherorder I do not understand this, I have been confused betweenthe independant and dependant

Explanation / Answer

A)The outcomes are NOT independent because they affect each other.Basically, dependent means that one event effects the outcomes ofanother event. B) There are four 3's and four 10's in the deck. But after you takea card out there are only 51 cards left in the deck. 4/52 x 4/51 = 4/663 C) It's the same probability, because there are the same amount of3's and 10's in the deck. D) There are 8 10's and 3's total. That means on your first draw,you have an 8/52 chance of drawing a 10 or a 3. After that you willonly have a 4/51 chance to get the other number that you didn'tget. 8/52 x 4/51 = 8/663

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