Question

Troy is conducting an experiment. He first rolls a fair die (six-sided) and then draw a chip out of a box containing 2 red chips, 4 green chips, and 9 blue chips. What is the probability Troy will roll a 3 and then draw a green chip?

Answer #1

A fair six-sided die has two sides painted red, 3 sides painted
blue and one side painted yellow.
The die is rolled and the color of the
top side is recorded.
List all possible outcomes of this random experiment
Are the outcomes equally likely? Explain
Make a probability distribution table for the random variable
X: color of the top side
2. If a pair of dice painted the same way as in problem 1 is
rolled, find the probability...

5. Suppose the six-sided die you are using for this
problem is not fair. It is biased so that rolling a 6
is three times more likely than any other roll. For this
problem, the experiment is rolling a six-sided die twice.
(A): What is the probability that one or both rolls are even
numbers (2, 4 or 6’s)?
(B): What is the probability that at least one of the rolls is
an even number or that the sum of...

Suppose you are
conducting an experiment consisting of rolling a twelve sided die,
spinning a wheel with equal sections in the colors of the rainbow
(red, orange, yellow, green, blue, indigo, violet), and flipping a
coin.
What is the
probability of getting a 5 or higher on the die roll, landing on a
primary color on the wheel, and getting heads on the coin flip?

Assume that a fair
six-sided die is rolled 9 times, and the roll is called a success
if the result is in {1,2}{1,2}.
What is the probability that there are exactly 4 successes or
exactly 4 failures in the 9 rolls?

1. Suppose you have a fair 6-sided die with the numbers 1
through 6 on the sides and a fair 5-sided die with the numbers 1
through 5 on the sides. What is the probability that a roll of the
six-sided die will produce a value larger than the roll of the
five-sided die?
2. What is the expected number of rolls until a fair five-sided
die rolls a 3? Justify your answer briefly.

Howard rolls a fair, 6 sided die 6 times. He is recording how
many times he rolls a multiple of 3. What is the probability of
Howard rolling exactly 3 multiples of 3? Show your work.

Suppose we roll a fair six-sided die and sum the values obtained
on each roll, stopping once our sum exceeds 376. Approximate the
probability that at least 100 rolls are needed to get this sum.
Probability =

Two faces of a six-sided die are painted red, two are painted
blue, and two are painted yellow. The die is rolled three times,
and the colors that appear face up on the first, second, and third
rolls are recorded. (a) Let BBR denote the outcome where the color
appearing face up on the first and second rolls is blue and the
color appearing face up on the third roll is red. Because there are
as many faces of one...

Consider an experiment where a fair die is rolled repeatedly
until the first time a 3 is observed.
i) What is the sample space for this experiment? What is the
probability that the die turns up a 3 after i rolls?
ii) What is the expected number of times we roll the die?
iii) Let E be the event that the first time a 3 turns up is after
an even number of rolls. What set of outcomes belong to...

A fair 4-sided die and a fair 6-sided die will be rolled. A)
Give the sample space. B) What is the probability the sum is 9? C)
What are the chances that the sum is 4, or the 4 sided die comes up
a 3?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 21 minutes ago

asked 33 minutes ago

asked 41 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 4 hours ago