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Mathematics 5 Online
OpenStudy (anonymous):

Expectation Of Card: if cameron selects a picture card from a standard deck of 52 cards, lindsey will give him $9. if not he gives lindsey $3. Determine Cameron's expectations. Determine Lindsey's expectations. If cameron plays the game 100 times, how much can he expect to lose or gain?

OpenStudy (anonymous):

what's picture card? is it one of king, queen, ace, jockey?

OpenStudy (anonymous):

Do u mean jocker? @SandeepReddy ?

OpenStudy (anonymous):

joker cards doesn't constitute the deck, I'm not clear about what are picture cards

OpenStudy (perl):

joker is not in a 52 card deck

OpenStudy (perl):

picture cards are face cards there are 4x3 = 12 face cards

OpenStudy (anonymous):

hmm, then camerons expectation is 12/52

OpenStudy (perl):

king , queen, jack , and there are 4 suits

OpenStudy (anonymous):

I'm confused whether Ace comes in picture cards or not @perl , you a playa? :P :D

OpenStudy (perl):

ace has no picture :)

OpenStudy (perl):

there is no face on the ace, basically

OpenStudy (anonymous):

camerons 12/52 => 3/13 lindsey (52-12)/52 = 40/52 = 10/13

OpenStudy (perl):

can you take a screen shot of the question @Jackeline1928

OpenStudy (anonymous):

"If cameron plays the game 100 times, how much can he expect to lose or gain?" Assuming the cards are placed in deck everytime after they play :P, now expectation that he wins every time so -> 100*3/13*9 dollars

OpenStudy (anonymous):

that's the max he can earn if he fail everytime they play then expectation that he loses -> 100*10/13*3 dollars that's the max he can lose.

OpenStudy (anonymous):

Extra Info: Unless he's super lucky, he'll have a great chance of going bankrupt

OpenStudy (perl):

X = 9 , P(x) = 12/52 X= -3 , P(x) = 40/52 expected Value = Sum X * P(X)

OpenStudy (perl):

Expectation Of Card: if cameron selects a picture card from a standard deck of 52 cards, lindsey will give him $9. if not he gives lindsey $3. Determine Cameron's expectations. 9* 12/52 + (-3)*40/52

OpenStudy (anonymous):

U guys r doing great

OpenStudy (anonymous):

did i spell anywhere wrong? @perl i said "if he fail everytime they play then expectation that he loses -> 100*10/13*3 dollars that's the max he can lose."

OpenStudy (perl):

Camerons expectation 9* 12/52 + (-3)*40/52 = -$0.23 Lindsays Expectation -9 * 12/52 + 3* 40/52 = $0.23

OpenStudy (perl):

If cameron plays the game 100 times, how much can he expect to lose or gain? multiply 100 * cameron expectation = 100 * (-0.23) = -23 so cameron will expect to lose 23 dollars if he plays 100 games

OpenStudy (perl):

and this makes sense, Lindsey is like a casino , she has an advantage over cameron

OpenStudy (anonymous):

@perl you r right man! , I totally took it differently thanks :)

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