Question

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 land heads up.

C.No, it means that if a coin was flipped many times, at most

one half12

of the tosses would land heads up.

D.No, it means that if a coin was flipped many times, about

one half12

of the tosses would lands heads up.

Answer #1

Answer : D

For the coin, number of outcomes to get heads = 1

Total number of possible outcomes = 2

Thus, we get 1/2

However, if you suspect that the coin may not be fair, you can toss the coin a large number of times and count the number of heads

Suppose you flip the coin 100 and get 60 heads, then you know the best estimate to get head is 60/100 = 0.6

This way of looking at probability is called the relative frequency estimate of a probability

The interesting thing with this is that the more you flip the coin,
the closer or about you get to 0.5

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...

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 coin is biased so that the probability of the coin landing
heads is 2/3. This coin is tossed three times. A) Find the
probability that it lands on heads all three times. B) Use answer
from part (A) to help find the probability that it lands on tails
at least once.

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.

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

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.

a coin is weighted so that there is a 55.4% chance of
it landing in heads when flipped. the country is flipped 13 times.
find the probability that at most 8 of the flips resulted in
heads
round answer 4 decimal places

A coin is flipped 5 times, the 1st flip came up heads. What is
the conditional probability that exactly 4 heads appeared?

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...

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.

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