Question

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.

Answer #1

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...

I toss a biased coin 15 times, with a probability of heads: ? =
0.25. Let x equal the number of heads I toss. The probability I
toss at least 2 heads is _________________ (3 points)

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...

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?

A
coin is flipped 15 times. find the probability of the following:
p( exactly 4 Heads).
p( at most 2 Heads).
p( at least 3 Heads).
please explain. Thanks

There are two coins and one of them will be chosen randomly and
flipped 10 times. When coin 1 is flipped, the probability that it
will land on heads is 0.50. When coin 2 is flipped, the probability
that it will land on heads is 0.75. What is the probability that
the coin lands on tails on exactly 4 of the 10 flips? Round
the answer to four decimal places.

A coin with two sides, heads and tails, is flipped 100 times.
What is the probability that a "heads" will come up exactly 60
times?
Submit your answer as a decimal fraction (range: 0 to
1) to five (5) decimal places.

Suppose that an unfair coin comes up heads 52.2% of the time.
The coin is flipped a total of 19 times.
a) What is the probability that you get exactly 9 tails?
b) What is the probability that you get at most 17 heads?

In a situation where we have a biased coin that is tails with
probability 0.7 and we independently flip it 10 times. Find the
following probabilities.
1. getting the sequence HTHHHTHTTH?
2. exactly 4 tails?
3. at least 4 tails?
4. expected number of tails? expected number of heads?

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