Question

Probabilities

A box of 25 Lego blocks contains 2 yellow square blocks, 3 yellow rectangular blocks, 4 blue square blocks, 8 blue rectangular blocks, 4 green square blocks, and 4 green rectangular blocks.

Use this information for problems 4 through 7.

4. What is the probability of choosing a block that is blue?

7. If you choose two blocks (without replacement of the first), find the probability of getting a square block on the first and rectangular block on the second.

8. If you choose two blocks (with the replacement of the first and shaking the box for the second draw), find the probability of getting a square block on the first and rectangular block on the second.

9. At a coffee stand, you can order a small, medium, or large coffee with or without cream. Use a tree diagram to find the number of possible outcomes. List the elements that make up the sample space.

Answer #1

(a) A box contains 4 marbles, 2 Red, 1 Green, 1
Blue. Consider an experiment that consists of taking 1 marble from
the box, then replacing it in the box and drawing a second marble
from the box. Describe the sample space. repeat when the second
marble is drawn without first replacing the first marble.
(b) What is the probability that the first
marble was Green and the second was Blue with replacement?
(c) What is the probability that the...

2. A box has 20 blocks in it. The
blocks are 3 red squares, 2 red circles, 2 red stars, 2 blue
squares, 5 blue circles, and 6 blue stars. For the
experiment of pulling a block out at random from the box, first
write out the table of joint probabilities for shape and color, and
then find the probability of
(a) pulling a red block
(b) pulling a circle
(c) pulling a red block given that you pulled a
circle
(d) pulling...

An urn contains 6 green ball, 7 blue balls and 5 yellow balls.
You are asked to draw 3 balls, one at a time (without replacement).
Find the probability that a green is pulled first, then another
green ball then a blue ball.

(5) 7. Suppose I have 5 yellow marbles and 3 red marbles in a
bag. Show your work for each computation?
A. What is the probability of choosing 2 red marbles with
replacement?
B. What is the probability of choosing 2 yellow marbles without
replacement?
C. Which is more likely to choose 2 red marbles with replacement
or 2 yellow marbles without replacement?
D. Is it possible to choose 4 red marbles without replacement?
Why or why not? What is...

Bag
contains 4 yellow blocks, 6 white ,7 green. If 2 blocks are pulled
from bag what is the probability that they will both be green

A box contains 4 red balls, 3 yellow balls, and 3 green balls.
You will reach into the box and blindly select a ball, take it out,
and then place it to one side. You will then repeat the experiment,
without putting the first ball back. Calculate the probability that
the two balls you selected include a yellow one and a green
one.

Box 1 contains 4 red balls, 5 green balls and 1 yellow ball.
Box 2 contains 3 red balls, 5 green balls and 2 yellow
balls.
Box 3 contains 2 red balls, 5 green balls and 3 yellow
balls.
Box 4 contains 1 red ball, 5 green balls and 4 yellow balls.
Which of the following variables have a binomial
distribution?
(I) Randomly select three balls from Box 1 with replacement. X =
number of red balls selected
(II) Randomly...

Probability Tree Project
You have a cup with 7 M&M’s 4 Blue and 3 Yellow. Conduct the
following experiment and record your results below.
Experiment 1: Two M&M’s are drawn from the cup with
replacement. Draw the probability tree below:
Find the probability of getting a yellow M&M on the second
draw with replacement_________
Find the probability of both M&Ms of the same color on the
second draw with replacement_________
Experiment 2: Two M&M’s are drawn from the cup without...

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?

ssume that two marbles are drawn without replacement from a
box with 1 blue, 2 white, 4 green, and 2 red marbles. Find the
probability that the second marble is white, given that the first
marble is blue.
A. 1/9
B. 1/4
C. 1/8
D. 2/9

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