Question

Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded six baseball cards and nine football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?

Answer 1

24?

Answer 2

@mathmath333

Answer 3

sry this looks higher level probablity than me

Answer 4

ok

Answer 5

@niels5x9 can you help

Answer 6

6x+9y=60 where x = bascket ball cards and y = football cards

Answer 7

so i think it simplifies to \(2x+3y=20\)

we have to check this number for x and y


\(\begin{align}\{x,y\}=\{1,1\}\\
\{2,2\}\\
\{3,3\}\\
\{4,4\}\end{align}
\)

Answer 8

substitute x and y?

Answer 9

we see that \( \{4,4\}\) satisfies hence \(4\times 6=24\) basket ball cards, your answer is correct

Answer 10

@mathmath333 thanks