Question

Calculate the probability. Leave all the answers in fraction with correct probability format.

- Not drawing a queen from a standard deck of 52 playing cards.
- Tossing a fair coin 5 times. What is the probability that the outcome has at least 1 Heads?
- A group of 20 people: 2 American men, 4 French men, 6 American
women, and 8 French women. What is the probability that the person
will be either a man
*or*American? - If I roll a 6-sided die until it comes up ‘1’. What is the
probability I get a ‘1’ by the 5
^{th}roll? - If tossing an unfair coin that the P(H)= and P(T)=, what is the probability the outcome is HHTHT. (H=Head, T=Tail)

Answer #1

1. If you have a coin (you may assume that it is perfectly
weighted and cannot land on its side). The coin then can land on
heads or tails. What are the chances of you flipping it 4 times in
a row and having it come up heads each time? What are the chances
of you flipping it 4 times in a row and having it come up tails
each time? What are the chance of it coming up heads...

1.
two coins are tossed, find the probability that two heads are
obtained. note: each coin has two possible outcomes H (heads) and T
(tails).
2. which of these numbers cannot be a probability? why?
a) -0.00001
b) 0.5
c) 20%
d)0
e) 1
3. in a deck of 52 cards, what is the probability of drawing a
three of spades, and then a four of clubs, without
replacement?
4. what is the probability of the same outcome in #3,...

In a sequential experiment we first flip a fair coin. If head
(event H) shows up we roll a fair die and observe the outcome. If
tail (event T) shows up, we roll two fair dice. Let X denote the
number of sixes that we observe.
a) What is the sample space of X?
b) Find the PMF of X and E[X].
c) Given that X = 1, what is the probability that head showed up
in the flip of...

Compute the following probabilities. Express your answer as a
decimal, rounded to three decimal places.
(a) Chris has 6 t-shirts, 3 pairs of pants, and 1 pair of
underwear. Assuming he chooses what to wear randomly and washes his
clothes every day (hopefully), what is the probability of him
wearing the exact same outfit two days in a row?
(b) Three distinct six sided dice are rolled, what is the
probability that the sum of the three dice is five?...

1. The probability that a student has a Visa card (event V) is
0.30. The probability that a student has a MasterCard (event M) is
0.40. The probability that a student has both cards is 0.12. (1)
Find the probability that a student has either a Visa card or a
MasterCard. (2) In this problem, are V and M independent? Why?
2.
This is a contingency table describes 100 business students.
Gender
Major
Female(F)
Male(M)
Accounting (A)
22
28
Economics(E)...

Assignment 2
1. Assume that you have two biased coins and one fair coin. One
of the biased coins are two tailed and the second biased one comes
tails 25 percent of the time. A coin is selected randomly and
flipped. What is the probability that the flipped coin will come up
tail?
2. One white ball, one black ball, and two yellow balls are
placed in a bucket. Two balls are drawn simultaneously from the
bucket. You are given...

1. Choose the two conditions that verify a table of relative
frequencies is a probability model.
Select one or more:
a. The sum of the probabilities for all of the possible outcomes
is less than 1.
b. The sum of the probabilities for all of the possible outcomes
equals 1 (or 100%).
c. There is at least one zero probability for an event.
d. All of the probabilities for the possible outcomes are at
least zero and no larger than...

1. Suppose that a bag contains 3 red chips and 7 white chips.
Suppose that chips are drawn from the bag with replacement, i.e.
the chips are returned to the bag and shuffled before the next chip
is selected. Identify the correct statement.
a.
If many chips are selected then, in the long run, approximately
30% will be red.
b.
If ten chips are selected then three will definitely be red.
c.
If seven consecutive white chips are selected then...

MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1
Question 1: (by hand) A retail establishment accepts either the
American Express card or the VISA credit card. A total of 30% of
its customers carry an American Express card, 70% carry a VISA
card, and 20% carry both. a) Find the probability that a randomly
selected customer carries at least one of the two credit cards. i)
Draw a Venn diagram and shade the region corresponding to at least...

1. A random number generator is used to select a number from 1
to
500 ?(inclusively).
What is the probability of selecting the number 595
?
What is the probability?
2.Identify the sample space of the probability experiment and
determine the number of outcomes in the sample space.
-Randomly choosing an even number between 10 and 20,
inclusive
The sample space is?
(Use a comma to separate answers)
There are _____ outcomes in the sample space
3. Determine the number...

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