Question

A coin is flipped 8 times. What is the probability that both heads and tails occur?

Answer #1

**Answer:**

Given,

To determine the probability that both heads & tails occur

A coin is flipped 8 times

The probability is 1 less the probability of getting all heads or getting all tails.

On the off chance that you don't get all heads or all tails you should have at any rate one of each.

The probability, with a reasonable coin, of getting any one explicit succession is 1 separated by 2 to the intensity of the length of the arrangement.

So the probability of 8 all heads is 1 partitioned by (2^8), or 1/256.

The probability of 8 all tails is 1 partitioned by (2^8), or 1/256.

Since we said 'or' above, we can include these two together

i.e.,

= 1/256 + 1/256

= 2/256

= 1/128

to give a probability of 1/128 for getting either all heads or all tails.

That leaves a probability of 1 - 1/128, or 127/128 as the probability of getting the two heads and tails when flipping a reasonable coin 8 times.

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.

An unfair coin is flipped 3 times, heads is 4 times as likely to
occur than tails.
x= the number of heads.
Find the probability distribution, E(x), and σ(x).

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?

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...

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)

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 ten times. What is the probability of getting
three heads?

3. A fair coin is flipped 4 times.
(a) What is the probability that the third flip is tails?
(b) What is the probability that we never get the same outcome
(heads or tails) twice in a row?
(c) What is the probability of tails appearing on at most one of
the four flips?
(d) What is the probability of tails appearing on either the
first or the last flip (or both)?
(e) What is the probability of tails appearing...

If a coin is flipped 3 times, what is the probability of getting
exactly 2 heads?

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.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 25 minutes ago

asked 34 minutes ago

asked 48 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago