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 nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?

CHOICES:

20

22

25

27

Answer 1

If it were like that, 9/20 would be baseball card.
`(9)/(20) = (x)/(60)`
x=27 since 20x3=60

Answer 2

Option D is correct .i.e., Most likely, the number of baseball cards in the deck is 27.

Explanation:

we find probability of getting a Base ball card and compare it with probability of Baseball card from whole data.

let,

Total No. of Sports Cards in Data 1= 60

and No. of Base ball card in Data 1 = x

`Probability=(x)/(60)`

In Data2,

Jamie recorded data for 20 times

⇒Total No. of cards in Data 2 = 20

In which 9 cards are of Baseball and 11 cards are of Football.

⇒ No. of Baseball card in Data 2 = 9

`Probability=(9)/(20)`

Now by comparing,

`(x)/(60)=(9)/(20)`

`x=(9)/(20)*60`

`x=9*3`

`x=27`

Therefore, Option D is correct .i.e., Most likely, the number of baseball cards in the deck is 27.