Lorelei tosses a coin 4 times. What is the probability of tossing four heads? Express as a percent. Round to the nearest tenth i

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nata0808

11 days ago

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Lorelei tosses a coin 4 times. What is the probability of tossing four heads? Express as a percent. Round to the nearest tenth i

f necessary.

Mathematics

1 answer:

Inessa [12.1K] · Answer 1 · 2026-03-29T14:12:00+03:00

Answer:

6.2%

Step-by-step explanation:

Each coin toss presents two possible outcomes: either heads or not. The outcome of any toss is independent of the others. Thus, we apply the binomial probability distribution to tackle this question.

Binomial probability distribution

This distribution signifies the probability of achieving exactly x successes over n trials, with X having only two possible outcomes.

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

Where $C_{n,x}$ denotes the number of combinations of x objects chosen from n elements, calculated using the following formula.

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

And p represents the probability of X occurring.

In a fair coin scenario:

it's equally possible for it to land heads or tails, thus $p = 0.5$

Lorelei tosses a coin 4 times.

This means that $n = 4$ .

What is the probability of getting four heads?

This corresponds to P(X = 4).

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

$P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.062$

0.062 = 6.2% chance of tossing four heads