Question

The drawer contains 10 white socks, 20 brown socks, 15 blue socks, and 10 blacksocks. How many socks should be taken from the drawer in complete darkness to besure that there is a matched pair.

Answer #1

Therefore a minimum of 5 socks have to be drawn in order to ensure that there is a matching pair.

This is a logical question.

Your sock drawer contains ten pairs of white socks and ten pairs
of black socks. If you're only allowed to take one sock from the
drawer at a time and you can't see what color sock you're taking
until you've taken it, how many socks do you have to take before
you're guaranteed to have at least one matching pair?

A drawer contains 10 pairs of socks. Each pair is either black
or white. What is the minimum number of socks that must be drawn,
at random, from the drawer to ensure that you have 3 pairs of all
the same color socks?

Suppose your top drawer contains different colored socks: 8 are
white, 14 are black, 4 are pink, and 16 are blue. All socks in the
drawer are loose (unpaired). In the morning, you randomly select
two socks, one at a time. Calculate the following probabilities,
writing your answer either as a decimal or a fraction.
(a) What is the probability that you get a blue pair of
socks?
(b) What is the probability that you do not get a blue...

Your sock drawer contains 10 pairs of white socks and 4 pairs of
black socks. You reach in and pull out two pairs of socks in a row,
without replacement. Show Work.
What is the probability that the second pair is white, given
that the first pair is black?
What is the probability that the second pair is white, given
that the first pair is white?
What is the probability that the second pair is black, given
that the first...

3. Jeremy has a drawer with 6 blue and 4 brown socks. He selects
4 of the socks without replacement.
(a) Determine the probability mass function of X, the number of
blue socks chosen.
(b) Determine the probability mass function of Z, the number of
matching pairs he selects. [Hint: The range of Z is {1, 2} since he
must get at least one matched pair and can’t get more than
two.]

Suppose your top drawer contains 36 different colored socks:
12 are white, 10 are black, 6 are pink, and 8 are blue. All socks
in the drawer are loose (not paired). In the morning, you randomly
select two socks, one at a time.
Use a probability tree to calculate the following
probabilities, approximating your final result to 4 decimal
places.
Note: creat a probability tree and the computations necessary
to determine the following probabilities.
a) What is the probability that...

3. A bag of laundry has 20 black socks, 15 blue socks, 12 gray
socks, 18 white socks and 10 brown socks. How many socks would you
have to pick to guarantee you had:
a. 6 of the same color? b. 6 gray socks?

A sock drawer contains three blue socks, three red socks, and
four green socks. A spider pulls out eight of the socks and puts
them on her eight feet. In how many ways can this happen? (Her feet
are distinct so the order of the socks matters, but socks of the
same color are indistinguishable. For instance, one way is
RRBGGBRG.)

A sock drawer contains three blue socks, three red socks, and
four green socks. A spider pulls out eight of the socks and puts
them on her eight feet. In how many ways can this happen? (Her feet
are distinct so the order of the socks matters, but socks of the
same color are indistinguishable. For instance, one way is
RRBGGBRG.)

In
a sock drawer, you have a pair of blue socks, red socks, yellow
socks, orange socks, purple socks and green socks. You randomly
pull out a sock one at a time until you select a pair of matching
socks.
Let pr be the probability that you get your first matching
pair on the r’th sock pulled from the drawer.
Find pr for r = 2, 3, . . ..

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