Question

A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped.

Find the expected number of flips that land on heads.

Find the expected number of flips that land on tails.

Answer #1

A coin, having probability p of landing heads, is continually
flipped until at least one head and one tail have been
flipped.
Find the expected number of flips needed.

a coin flips to show head with probability p. the coin is
flipped until head occurs. find the expected number of flips.

A coin having probability p of coming up heads is successively
flipped until two of the most recent three flips are heads. Let N
denote the number of flips. (Note that if the first two flips are
heads, then N = 2.) Find E[N]. (please do not just copy the answer
from other solutions, I need a thoroughly explained answer)

a
coin is weighted so that there is a 57.9% chance of it landing on
heads when flipped. the coin is flipped 12 times. find the
probability that the number of flips resulting in head is at least
5 and at most 10

When coin 1 is flipped, it lands on heads with probability
3
5
; when coin 2 is flipped it lands on heads with probability
4
5
.
(a)
If coin 1 is flipped 11 times, find the probability that it
lands on heads at least 9 times.
(b)
If one of the coins is randomly selected and flipped 10 times,
what is the probability that it lands on heads exactly 7
times?
(c)
In part (b), given that the...

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?

You repeatedly flip a coin, whose probability of heads is p =
0.6, until getting a head immediately followed by a tail. Find the
expected number of flips you need to do.

A coin is weighted so that there is a 61.5% chance of it landing
on heads when flipped. The coin is flipped 15 times.
Find the probability that the number of flips resulting in
"heads" is at least 5 and at most 10.

When coin 1 is flipped, it lands on heads with probability
3/5 ; when coin 2 is flipped it lands on heads with probability
4/5 .
(a)
If coin 1 is flipped 12 times, find the probability that it
lands on heads at least 10 times.
(b)
If one of the coins is randomly selected and flipped 10 times,
what is the probability that it lands on heads exactly 7
times?
(c)
In part (b), given that the first of...

The theoretical probability of a coin landing heads up is
1/2
Does this probability mean that if a coin is flipped two times,
one flip will land heads up? If not, what does it mean?
Choose the correct answer below.
A.
Yes, it means that if a coin was flipped two times, at least
one of the tosses would land heads up.
B.
Yes, it means that if a coin was flipped two times, exactly
one of the tosses would...

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