Question

PLEASE HELP!! URGENT If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?

Answer 1

Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.

What is the binomial distribution formula?

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

• x is the number of successes.

• n is the number of trials.

• p is the probability of a success on a single trial.

In this problem:

• A fair coin is equally as likely to result in heards or in tails, hence p = 0.5.

• The coin is tossed 4 times, hence n = 4.

The probability of getting 3 tails is P(X = 3), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25$

0.25 = 25% probability of getting exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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