Question

Thirty biased coins are flipped once. The coins are weighted so that the probability of a head with any coin is 0.40. What is the probability of getting at least 16 heads?

The answer is 0.0681. How do I solve this??

Answer #1

4. We have 10 coins, which are weighted so that when flipped the
kth coin shows heads with probability p = k/10 (k = 1, . . . ,
10).
(a) If we randomly select a coin, flip it, and get heads, what
is the probability that it is the 3rd coin? Answer: 3/55 '
(b) What is the probability that it is the kth coin? Answer:
k/55
(c) If we pick two coins and they both show heads, what...

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.

Coin 1 and Coin 2 are biased coins. The probability that tossing
Coin 1 results in head is 0.3. The probability that tossing Coin 2
results in head is 0.9. Coin 1 and Coin 2 are tossed
(i) What is the probability that the result of Coin 1 is tail
and the result of Coin 2 is head?
(ii) What is the probability that at least one of the results is
head?
(iii) What is the probability that exactly one...

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 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
particular coin is biased. Each timr it is flipped, the probability
of a head is P(H)=0.55 and the probability of a tail is P(T)=0.45.
Each flip os independent of the other flips. The coin is flipped
twice. Let X be the total number of times the coin shows a head out
of two flips. So the possible values of X are x=0,1, or 2.
a. Compute P(X=0), P(X=1), P(X=2).
b. What is the probability that X>=1?
c. Compute the...

A coin is weighted so that there is a 61% chance that it will
come up "heads" when flipped.
The coin is flipped four times. Find the probability of getting
two "heads" and two "tails".
Please explain each step in detail

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 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.

Suppose I have two biased coins: coin #1, which lands heads with
probability 0.9999, and coin #2, which lands heads with probability
0.1. I conduct an experiment as follows. First I toss a fair coin
to decide which biased coin I pick (say, if it lands heads, I pick
coin #1, and otherwise I pick coin #2) and then I toss the biased
coin twice. Let A be the event that the biased coin #1 is chosen,
B1 the event...

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