Question

**What is the frequentist definition of probability?
Illustrate on two concrete examples of tossing a coin and rolling a
die.**

Answer #1

Consider tossing a coin and rolling a four-sided die
(with the numbers 1 through 4 printed on the
sides)
I'm confused about this question's meaning.
It said that tossing a coin (and) rolling a four-sided
die (with the numbers 1 through 4 printed on the
sides)
It said tossing a coin AND rolling a four sided die.
When there is a question like this, isn't it about finding tossing
a coin and rolling a four sided die separately? Does it...

Which of the following pairs of events are independent?
Rolling a die and tossing a coin
Rolling a sum of 12 on two dice and rolling a 6 on one of two
dice
Scoring in a soccer game and winning a soccer game
All of the above are independent events
None of the above are independent events

Coin 1 and Coin 2 are biased coins. The probability that tossing
Coin 1 results in head is 0.3. The probability that tossing Coin 2
results in head is 0.9. Coin 1 and Coin 2 are tossed
(i) What is the probability that the result of Coin 1 is tail
and the result of Coin 2 is head?
(ii) What is the probability that at least one of the results is
head?
(iii) What is the probability that exactly one...

Find the probability of each of the following events:
(i) Tossing a coin 5 times with the outcome of five heads.
(ii) Tossing four coins with the outcome of two heads and two
tails in any order.

What is the probability of tossing a fair coin 19 times and
having heads come up 12 or more times.

If you roll a die and flip a coin. What is the probability of
rolling a 3 and flipping a tails?

Imagine tossing a fair coin two times. What is the sample space
of this chance process?
What is the probability of obtaining both tails?
What is the probability of obtaining none tails?
What is the probability of obtaining at least one head?
What is the probability of obtaining at most onetail?

it is known that the probability p of tossing heads on an
unbalanced coin is either 1/4 or 3/4. the coin is tossed twice and
a value for Y, the number of heads, is observed. for each possible
value of Y, which of the two values for p (1/4 or 3/4) maximizes
the probabilty the Y=y? depeding on the value of y actually
observed, what is the MLE of p?

You have a coin that you suspect is not fair (i.e., the
probability of tossing a head (PH) is not equal to the probability
of tossing a tail (PT) or stated in another way: PH ≠ 0.5). To
test yoursuspicion, you record the results of 25 tosses of the
coin. The 25 tosses result in 17 heads and 8 tails.
a) Use the results of the 25 tosses in SPSS to construct a 98%
confidence interval around the probability of...

Use the web app Random numbers to illustrate the long run
definition of probability by stimulating short term and long term
results of flipping a balanced coin. keep the probability of a head
at the default value of 50% and set the number of flips to generate
a stimulation to 10

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