Posted by Kay on Wednesday, May 13, 2009 at 1:37pm.
I need someone to tell me how to set these up please?
1. A box contains 4 quarters. 2 of the quarters have the American eagle on the back. Suppose you draw 2 quarters at random with replacement.
a. What's the probability that both have the American eagle on the back?
b. What's the probability that neither have the American eagle?
c. What's the probability that AT LEAST one has the American eagle?
2. In a survey, 28% of students said they were lefthanded. 64% said they were righthanded and 8% said they were ambidextrous. If you omitted the ambidestrous people, what percent of the students remaining are lefthanded?
3. 75% of boys like hockey. 65% of girls like hockey. There are an equal number of boys and girls. If someone does not like hockey, what's the probability that it's a boy?

Algebra 2  stats and probability  Reiny, Wednesday, May 13, 2009 at 2:22pm
1.
Let E be 'eagle on back"
let N be 'not eagle on back'
There are only 4 possible outcomes
EE, NE, EN, and NN
since there is replacement each of those above events has a prob of 1/4 from (2/4 x 2/4)
so a) is 2/4 x 2/4 = 1/4
b) NN or 1/4 again
c) is 1/4 + 1/4 = 1/2
3.
for conveniece sake, let's say there are 100 boys, then there are 100 girls or a total of 200
the number of boys who don't like hockey is 25
so prob that a boy doesn't like hockey = 25/200 = 1/8
do #2 the same way.

Algebra 2  stats and probability  Kay, Wednesday, May 13, 2009 at 2:24pm
But you're taking the number of boys from the percent of people that don't like hockey. 60% of people don't like hockey. So it's 25%/60%, right? So, wouldn't it be 42%?

Algebra 2  stats and probability  Reiny, Wednesday, May 13, 2009 at 2:38pm
That's why I wanted you to pick an arbitrary number, I used 100 because it so convenient.
Can't we break down our 200 students into 4 categories.
boys who like hockey = 75
boys who don't like hockey = 25
girls who like hockey = 65
girls who don't like hockey = 35
(notice that totals 200)
prob(of some event) =number of cases in that event / total number of cases
our event is (boys who don't like hockey)
so prob = 25/200 = 1/8
I don't see how you can interpret that in any other way.
Answer This Question
Related Questions
 math  A box contains only quarters and dimes. If there 10% more quarters, the ...
 math  A box contains only quarters and dimes. If there 10% more quarters, the ...
 6 grade math  Please I need help on just the set up using a guess and check ...
 math  Quin has 28 state quarters collected. he wants to have a complete set of ...
 Algebra  Solve the problem using matrices. John has a jarful of quarters and ...
 Math  "Jack has a collection of nickels and quarters. He has a total of 50 ...
 Math  Of the coins in my collection, 13/25 are quarters. Of these quarters 2/3 ...
 statistics  researcher wants to know if state quarters have a weight that is ...
 word problem money  you have $ 1.55 in dimes and quarters. find all the ...
 math  A bag contains 44 U.S. quarters and six Canadian quarters. (The coins are...
More Related Questions