Thread: 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

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.

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?

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".

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.