Question

Помоги найти вероятность того ,что орел выпадает ровно два раза (в случайном эксперименте симметричную монету бросают трижды )найдите вероятность того,что орел выпадает ровно два раза

Answer 1

Я нашла только с 3 раза.Вероятность орла при броске 1/2. вероятность каждого события умножается на друг друга.
(1/2)*(1/2)*(1/2)=0,125

Answer 2

Calculating the Probability of Getting Exactly Two Heads

To calculate the probability of getting exactly two heads when a fair coin is tossed three times, we can use the binomial probability formula. The formula for the binomial probability is:

P(X = k) = (n choose k) * (p^k) * (1-p)^(n-k)

Where: - n is the number of trials (in this case, 3 tosses) - k is the number of successful outcomes (in this case, 2 heads) - p is the probability of success on an individual trial (in this case, 0.5 for a fair coin)

Applying the Formula

Using the binomial probability formula, the probability of getting exactly two heads when a fair coin is tossed three times can be calculated as follows:

P(X = 2) = (3 choose 2) * (0.5^2) * (1-0.5)^(3-2)

Calculation

Let's calculate the probability using the formula: - (3 choose 2) = 3! / (2!(3-2)!) = 3 - (0.5^2) = 0.25 - (1-0.5)^(3-2) = 0.5

Plugging these values into the formula: P(X = 2) = 3 * 0.25 * 0.5 = 0.375

Answer

Therefore, the probability of getting exactly two heads when a fair coin is tossed three times is 0.375.