Question

A selection of coin is known to be either fair (with a probability 0.5 of coming up heads or tails when flipped) or biased (with a probability 0.75 of tails, 0.25 of heads.) Further. it is known that 1/10 of the coins are biased. a) You select a coin at random. What are the prior odds (not probability) that you have picked a biased coin? b) You select a coin at random and flip it; you get tails. What are the posterior odds that you have a biased coin? c) Suppose you continue flipping the coin and continue getting tails. How many times must you flip the coin before you believe the coin is more likely to be biased that not?

Answer #1

REPOST: A biased coin has 0.75 probability of flipping
heads and 0.25 of flipping tails. What is the probability that the
sequence TTHH (T=tails, H=heads) only occurs after the 8th
flip?

coin 1 has probability 0.7 of coming up heads, and coin 2 has
probability of 0.6 of coming up heads. we flip a coin each day. if
the coin flipped today comes up head, then we select coin 1 to flip
tomorrow, and if it comes up tail, then we select coin 2 to flip
tomorrow. find the following:
a) the transition probability matrix P
b) in a long run, what percentage of the results are heads?
c) if the...

You select a coin at random: 2/3 of the coins are unfair, 1/3 of
the coins are fair. The fair coins are equally likely to flip heads
or tails. The unfair coins flip heads 3/4 of the times, and tails
1/4 of the times. You flip the selected coin and get heads or
tails. Find (1) the probability that the selected coin is fair
given the flip is heads, (2) the probability that the selected coin
is fair given the...

Consider two coins, one fair and one unfair. The probability of
getting heads on a given flip of the unfair coin is 0.10. You are
given one of these coins and will gather information about your
coin by flipping it. Based on your flip results, you will infer
which of the coins you were given. At the end of the question,
which coin you were given will be revealed.
When you flip your coin, your result is based on a...

A jar contains infinitely many coins which come up Tails with
proba- bility p. A person selects a coin from the jar and flips it
on a table. In the following way, they continue flipping coins
until all coins on the table show Tails: If the last flip came up
Heads, they select a coin from the jar and flip it on the table. On
the other hand, if the last flip came up Tails, they select a coin
from...

You are flipping a fair coin with one side heads, and the other
tails. You flip it 30 times.
a) What probability distribution would the above most closely
resemble?
b) If 8 out of 30 flips were heads, what is the probability of
the next flip coming up heads?
c) What is the probability that out of 30 flips, not more than
15 come up heads?
d) What is the probability that at least 15 out 30 flips are
heads?...

A biased coin has probability p to land heads and q = 1 − p to
land tails. The coin is flipped until the first occurrence that
differs from the initial flip. What is the number of flips
required, on average?

Suppose a fair coin is flipped three times.
A). What is the probability that the second flip is heads?
B). What is the probability that there is at least two
tails?
C). What is the probability that there is at most two heads?

java
beginner level
NO ARRAYS in program
Flip a coin (Assignment)
How many times in a row can you flip a coin and gets heads?
Use the random number generator to simulate the flipping of the
coin. 0 means heads, 1 means tails.
Start a loop,
flip it, if heads, count it and keep flipping.
If tails, stop the loop.
Display the number of times in a row that heads came up.
Once this is working, wrap a while loop...

A certain “unfair” coin is one where the probability of a head
showing when flipped is 0.35 and the probability of a tail showing
is 0.65. An experiment consists of flipping 8 of these “unfair”
coins. Let the random variable x be the number of tails showing.
Determine the probability of 3 of the 8 coins showing tails.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 5 minutes ago

asked 13 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 39 minutes ago

asked 51 minutes ago

asked 54 minutes ago

asked 58 minutes ago

asked 1 hour ago