Question
In: Statistics and Probability
In tossing three fair coins, what is the probability of getting at least two heads?
In tossing three fair coins, what is the probability of getting at least two heads?
Solutions
orchestra answered 1 year agoRelated Solutions
For the following exercises, four coins are tossed. Find the probability of tossing either two heads or three heads.
For the following exercises, four coins are tossed.Find the probability of tossing either two heads or three heads.
Two fair coins are flipped at the same time. 1) What is the probability of getting...
Two fair coins are flipped at the same time.
1) What is the probability of getting a match (same face on both
coins)? Answer for part 1 [The answer should be a number
rounded to five decimal places, don't use symbols such as
%]
2) What is the probability of getting at least two heads? Answer
for part 2 [The answer should be a number rounded to five
decimal places, don't use symbols such as %]
Three fair coins are tossed simultaneously. We define the events A: get at least two heads...
Three fair coins are tossed simultaneously. We define the
events
A: get at least two heads
B: get two tails
C: get at most two heads
i) Write
down the sample space S.
ii) Calculate
P(A), P(B), P(C).
iii) Calculate P(A ∩
B), P(A ∩ C), P(B ∩
C).
iv) Calculate P(A Ս B),
P(A Ս C), P(B Ս
C).
v) Which of the
following pairs of events are independent and why?
A and B
A and C
vi) Which of the
following pairs of events...
When tossing a fair coin three times what is the probability of getting 0, 1, 2,...
When tossing a fair coin three times what is the probability of
getting 0, 1, 2, or 3 heads (as opposed to tails)? Write the
answers in fractional notation, corresponding to the order
given.
In tossing a fair coin 16 times, what is the probability of getting at most 4...
In tossing a fair coin 16 times, what is the probability of
getting at most 4 tails?
Three fair coins are tossed simultaneously 10 times. Find the probability that "2 heads and one...
Three fair coins are tossed simultaneously 10 times. Find the
probability that "2 heads and one tail" will show up (a) at least
once and (b) at most once.
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
1st Case: What is the probability of getting 3 heads when 10 coins are tossed? 2nd...
1st Case: What is the probability of getting 3 heads when 10
coins are tossed? 2nd Case:What is the probability of getting 3 or
less heads when 10 coins are tossed? 3rd Case: What is the
probability of getting 3 or less heads when 10 coins are
tossed?
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