Question

Example #3 - In a bag of reese's pieces, there are 28 orange ones, 15 yellow ones, and 12 brown ones, for a total of 55 pieces.

c) if we select one at random, then put it back and mix them up well so that the selections are random, what is the probability that both the first and second ones are yellow?

d) If we select one and keep it and then select a second one, what is the probability that both of them are yellow?

Answer #1

Total = 28 + 15 + 12 = 55

Yellow ones = 15

**c)** This is with replacement probability. In
this we are putting the first selection back into the bag so the
number of pieces into bag is not changing.

P(both yellow) =

Hence, **9/121** is the answer of this one.

**d)** This is without replacement. In this we are
not putting the first piece back into the bag so the number of
pieces into bag will change to 54 when we select the second
piece.

P(both yellow) =

Hence, **7/99** is the answer of this part.

In the second selection, total pieces = 54 and remaining yellow pieces = 14 because we already have 1 yellow piece in hand and we are not putting that back. That's why number of total and yellow pieces are changed.

Please comment if any doubt. Thank you.

In a bag of M & M's, there are 80 M & Ms, with 11 red
ones, 12 orange ones, 20 blue ones, 10 green ones, 18 yellow ones,
and 9 brown ones. They are mixed up so that each candy piece is
equally likely to be selected if we pick one.
( ALL ANSWERS ROUNDED TO THREE DECIMAL PLACES)
a) If we select one at random, what is the probability that it is
yellow?
P(Yellow) ______________
b) If we...

A bag of Candy contains yellow, orange and brown colored pieces
(each candy is one solid color). There is plenty of each color in
the bag. a. If we reach in and grab a handful of ten candies, how
many different color combinations are possible? Keep in mind that
candies of the same color are considered identical. b. How many ten
candy combinations are possible where at least one of each color is
drawn? c. Suppose we instead draw candies...

The candy Reese's Pieces come in three different colors: orange,
yellow, and brown. Less than forty-five percent of the pieces are
supposed to be orange. A random sample of Reese's Pieces packages
were opened and 166 out of 400 pieces were orange. Test the
hypothesis that less than forty-five percent of Reese's Pieces are
orange. Use α = .05 (define the population parameter in H0,.State
the Ha and Ho,)
1. H0:
2. Ha:
3. Test Statistics (z or t score,...

A bag contains two red marbles, four green ones, one transparent
one, two yellow ones, and two orange ones. You select three at
random. Compute the probability of the given event. (Enter your
probability as a fraction.) You have selected all the red ones.

There is a bag we 12 pieces of candy; 1 blue, 1 yellow, 3 brown,
3, green, 2 red, 2 orange. Someone pours them out in a line...
Whats the prob that colors remain together in line? What if
1million people did this same task -- what the expected number of
people who will have colors in line?

For a certain candy, 55% of the pieces are yellow,15% are
red, 15% are blue,20% are green, and the rest are brown.
a) If you pick a piece at random, what is the probability that
it is brown? it is yellow or blue? it is not green? it is
striped?
b) Assume you have an infinite supply of these candy pieces
from which to draw. If you pick three pieces in a row, what is the
probability that they are...

A bowl contains 6 brown, 3 red, 4 yellow, and 2 blue pieces of
candy. If you choose 2 at random (without replacing the first) what
the probability that: a. the frrst is red and the second is yellow
b. the flIst is yellow and the second is red c. one is red and the
other is yellow (in either order)/ d. both are brown?

1A. A bag contains 4 red marbles, 3 green ones, 1 lavender one,
3 yellows, and 2 orange marbles. HINT [See Example 7.]
How many sets of five marbles include at most one of the yellow
ones?
_______ Sets.
1B.A bag contains 2 red marbles, 6 green ones, 1 lavender one, 4
yellows, and 2 orange marbles. HINT [See Example 7.]
How many sets of five marbles include either the lavender one or
exactly one yellow one but not both...

According to Masterfoods, the company that manufactures
M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12%
are red, 23% are blue, 23% are orange and 15% are green. [Round
your answers to three decimal places, for example: 0.123] Compute
the probability that a randomly selected peanut M&M is not
orange. Compute the probability that a randomly selected peanut
M&M is yellow or brown. Compute the probability that two
randomly selected peanut M&M’s are both brown. If you randomly...

Recall from Example 1 that whenever Suzan sees a bag of marbles,
she grabs a handful at random. She has seen a bag containing four
red marbles, four green ones, three white ones, and three purple
ones. She grabs eight of them. Find the probability of the
following event, expressing it as a fraction in lowest terms. HINT
[See Example 1.]
She has at least one green one.
Recall from Example 1 that whenever Suzan sees a bag of marbles,...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 43 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago