Question

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?

Answer #1

Given a fair coin, if the coin is flipped n times, what is the
probability that heads is only tossed on odd numbered tosses.
(tails could also be tossed on odd numbered tosses)

4. A fair coin is flipped 6 times.
a. what is the distribution
of outcomes?
b. what is the probability
of getting 4 heads/2 two tails in six flips of a
coin?

A fair coin is tossed three times. What is the probability
that:
a. We get at least 1 tail
b. The second toss is a tail
c. We get no tails.
d. We get exactly one head.
e. You get more tails than heads.

A coin is flipped. If a heads is flipped, then the coin is
flipped 4 more times and the number of heads flipped is noted;
otherwise (i.e., a tails is flipped on the initial flip), then the
coin is flipped 2 more times and the result of each flip (i.e.,
heads or tails) is noted successively. How many possible outcomes
are in the sample space of this experiment?

Suppose a fair coin (P[heads] = ½) is flipped 50 times. What is
the probability of obtaining 30 or fewer heads using the normal
approximation to the binomial with the continuity correction
factor?
Use Minitab or some other software package to obtain the your
probability answer. Round your answer to two decimal points.

If a fair coin is flipped 120 times, what is the probability
that:
The number of heads is more than 70
The number of heads between 50 and 70?

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...

A biased coin is flipped 9 times. If the probability is 14 that
it will land on heads on any toss. Calculate: This is a binomial
probability question
i) The probability that it will land heads at least 4
times.
ii) The probability that it will land tails at most 2 times.
iii) The probability that it will land on heads exactly 5
times.

In this problem, a fair coin is flipped three times. Assume that
a random variable X is defined to be 7 times the number of heads
plus 4 times the number of tails.
How many different values are possible for the random variable
X?

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...

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