SOLUTION: Example 1: Four friends cleaning out their math folders were too lazy to get up and throw the papers in the trash. Instead, they sat at their desks and took shots at the wastebaske

Question 682080: Example 1: Four friends cleaning out their math folders were too lazy to get up and throw the papers in the trash. Instead, they sat at their desks and took shots at the wastebasket. Together they took a total of 188 shots. Only 89 of the shots actually made it in the wastebasket, and of those that went in 32 of them hit the rim before going in. Sixty-four shots missed the rim and did not go in the wastebasket.
a.) How many shots hit the rim but did not go in the wastebasket?
b.) What is the probability a shot hit the rim but did not go in the wastebasket?
P(shot hit the rim and did not go in) =
c.) What is the probability a shot went in the basket?
d.) What is the probability a shot went in if the shot hit the rim?
P(shot made/hit rim) =
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
THE SOLUTION:
a.) How many shots hit the rim but did not go in the wastebasket?
The number of shots that did not go in was .
hit the rim, but did not go in.

b.) What is the probability a shot hit the rim but did not go in the wastebasket?
Adding up, the total number of shots that hit the rim was .
P(shot hit the rim and did not go in) =

c.) What is the probability a shot went in the basket?
because 89 of 188 went into the basket

d.) What is the probability a shot went in if the shot hit the rim?
P(shot made/hit rim) =
because a total of 67 hit the rim, but only 32 of those went in.

TO UNDERSTAND THE PROBLEM:
Each shot could have only one of the 4 outcomes below:
go in the basket without touching the rim,
hit the rim and go in the basket,
hit the rim and fall outside the basket,
miss the basket completely, without even touching the rim.
If we figure out how many shots had each of those outcomes, we can to answer any questions.

In all, of the shots went into the basket.
The number of shots that did not go in was .
Of those shots, were really bad shots, that missed the basket without even touching the rim.
The other hit the rim, but did not go in.
Of the shots that went into the basket, hit the rim before going in,
The other shots went in the basket without touching the rim. (That's nice to know, but the problem did not ask any question that required that calculation).
RELATED QUESTIONS
Five Cities Garbage charges a flat monthly fee for their services plus a certain amount... (answered by stanbon)

A file cabinet contains 3 blue and 6 red folders. If folders are randomly selected,... (answered by edjones)

Three men are attending a math conference together. To save money, they decide to share... (answered by ptaylor)

I just can't figure this one out and do not understand the example in our book! A local... (answered by jim_thompson5910)

In how many ways can four people be chosen from a group of 15 people to take out the... (answered by Alan3354)

In how many ways can can four people be chosen from a group of 15 people to take out the... (answered by Alan3354)

im so confused!! im in grade 10 foundations math and were working on rational exponents.... (answered by ankor@dixie-net.com)

Hello, I'm taking Calculus online and have a homework problem I'm having trouble with. (answered by Alan3354)