Question

1a)

An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen lands on heads, the person gets a prize. One coin is a fair coin and one coin is a biased coin (unfair) with only a 35% chance of getting a head. Assuming equally likely probability of picking either coin, what is the probability that the fair coin is the one chosen, given that the chosen coin lands on heads?

a) 0.8500

b) 0.0141

c) 0.4250

d) 0.4167

e) 0.5882

f) None of the above.

1b)

There are three colored cookie jars. One jar is blue, another
green and the last one pink. The blue jar contains 15 chocolate
chip and 9 sugar cookies. The green jar contains 6 chocolate chip,
11 sugar and 10 peanut butter cookies. The pink jar contains 5
chocolate chip, 7 sugar and 14 peanut butter cookies. One of the
three cookie jars is chosen at random. The probabilities that the
blue jar, green jar, or pink jar will be chosen are
^{1}⁄_{2} , ^{1}⁄_{4} , and
^{1}⁄_{4} , respectively. A cookie is then chosen
at random from the chosen jar. What is the probability that the
pink jar was chosen, if it is known that the cookie was a sugar
cookie?

a) 0.2692

b) 0.1887

c) 0.0897

d) 0.0673

e) 0.2560

f) None of the above.

Answer #1

There are three colored cookie jars. One jar is blue, another
green and the last one pink. The blue jar contains 7 chocolate chip
and 11 sugar cookies. The green jar contains 13 chocolate chip, 9
sugar and 5 peanut butter cookies. The pink jar contains 12
chocolate chip, 8 sugar and 6 peanut butter cookies. One of the
three cookie jars is chosen at random. The probabilities that the
blue jar, green jar, or pink jar will be chosen...

A large cookie jar contains the following selection of
mini-cookies: 10 sugar, 14 oatmeal raisin, 18 peanut butter, and 6
chocolate chip cookies. You randomly select 2 cookies, one at a
time, without replacement.
Compute the following probabilities.
(a) probability of getting 2 peanut butter cookies 0.375
(b) probability of getting 2 sugar cookies 0.208
(c) probability of not getting 2 sugar cookies
(d) probability of getting one oatmeal raisin and then one
chocolate chip cookie
Show all calculator commands...

A) A group of Mathematics faculty at the local college consists
of 9 women and 10 men. Four people are to be selected to go to a
conference.
a. How many different ways can a group of four people be selected
from this group of 19?
b. In how many ways can four women be chosen from the group of 9
women?
c. What is the probability that all women will be chosen to
attend the conference?
Enter...

1. Two cards are drawn from a well-shuffled ordinary
deck of 52 cards. Find the probability that they are both aces if
the first card is (a) replaced, (b) not replaced.
2. Find the probability of a 4 turning up at least once in two
tosses of a fair die.
3. One bag contains 4 white balls and 2 black balls; another
contains 3 white balls and 5 black balls. If one ball is drawn from
each bag, find the...

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