Question

Монету кидают 3 раза, найти вероятность того, что решка выпадет 2 раза

Answer 1

Решение данного задания. 
Читайте внимательно. Вопрос поставлен так: "Решка выпадет 2 раза"
Значит ответ 1-й
А если вопрос такой: "Решка выпадет ровно 2 раза"
То ответ будет 2-й

Answer 2

Finding the Probability of Getting Two Heads in Three Coin Tosses

To find the probability of getting two heads in three coin tosses, we can use the concept of combinations. The formula for calculating combinations is given by:

C(n, k) = n! / (k! * (n-k)!)

Where: - n is the total number of possible outcomes - k is the number of desired outcomes

In this case, we want to find the probability of getting two heads (H) in three coin tosses. Since each coin toss has two possible outcomes (H or T), the total number of possible outcomes is 2^3 = 8.

Using the combination formula, we can calculate the probability as follows:

P = C(3, 2) * (1/2)^3 + C(3, 3) * (1/2)^3

Let's calculate the probability step by step:

1. Calculate C(3, 2): - C(3, 2) = 3! / (2! * (3-2)!) = 3

2. Calculate C(3, 3): - C(3, 3) = 3! / (3! * (3-3)!) = 1

3. Calculate the probability: - P = C(3, 2) * (1/2)^3 + C(3, 3) * (1/2)^3 - P = 3 * (1/2)^3 + 1 * (1/2)^3 - P = 3/8 + 1/8 - P = 4/8 - P = 0.5

Therefore, the probability of getting two heads in three coin tosses is 0.5 or 50%.