# Baseball Cards

• Dec 2nd 2008, 09:47 PM
magentarita
Baseball Cards
38 Elton bought a pack of 16 baseball cards. He sorted them by position and noted that he had pictures of 4 pitchers, 5 outfielders, and 7 infielders.

a A single card is chosen from the pack at random. Find the probability that

(1) the card shows an outfielder
(2) the card does not show a pitcher

b Two cards are randomly chosen from the pack of 16 cards without
replacement. Find the probability that

(1) both cards show outfielders
(2) neither card shows a pitcher
• Dec 2nd 2008, 10:53 PM
mr fantastic
Quote:

Originally Posted by magentarita
38 Elton bought a pack of 16 baseball cards. He sorted them by position and noted that he had pictures of 4 pitchers, 5 outfielders, and 7 infielders.

a A single card is chosen from the pack at random. Find the probability that

(1) the card shows an outfielder
(2) the card does not show a pitcher

b Two cards are randomly chosen from the pack of 16 cards without
replacement. Find the probability that

(1) both cards show outfielders
(2) neither card shows a pitcher

a. (1) How many cards are there? How many show an outfielder ....?
(2) How many cards are there? How many don't show a pitcher ....?

b. I suggest you try drawing a tree diagram to answer these questions.
• Dec 5th 2008, 12:28 PM
magentarita
tree............
Quote:

Originally Posted by mr fantastic
a. (1) How many cards are there? How many show an outfielder ....?
(2) How many cards are there? How many don't show a pitcher ....?

b. I suggest you try drawing a tree diagram to answer these questions.

The tree diagram is very complex and hard to follow.
Is there another method for solving this type of question?
• Dec 5th 2008, 12:41 PM
mr fantastic
Quote:

Originally Posted by magentarita
The tree diagram is very complex and hard to follow.
Is there another method for solving this type of question?

No it's not.

(1) Consider the events "Card shows outfielder" and "Card doesn't show outfielder".

(2) Consider the events "Card shows pitcher" and "Card doesn't show pitcher".
• Dec 7th 2008, 09:19 AM
magentarita
ok...
Quote:

Originally Posted by mr fantastic
No it's not.

(1) Consider the events "Card shows outfielder" and "Card doesn't show outfielder".

(2) Consider the events "Card shows pitcher" and "Card doesn't show pitcher".

I'll play with question and get back to you.
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}