Question

Монету подбрасывают 4 раза. Найти вероятность того что только на 3 монетах выпадет герб.

Answer 1

Вероятность того что монета упадёт на герб три/четвёртых !
3
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4

Answer 2

To find the probability of getting exactly 3 heads (gerb) when flipping a coin 4 times, we can use the binomial probability formula:

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

Where:

• P(X = k) is the probability of getting exactly k successes (in this case, 3 heads),
• C(n, k) is the combination formula (n choose k) which calculates the number of ways to choose k successes out of n trials,
• p is the probability of getting a head on a single coin toss, and
• n is the total number of coin tosses.

In this case, n = 4 (coin tossed 4 times) and p = 0.5 (since the coin is fair, the probability of getting a head or tail is 0.5 each).

Now, let's calculate the probability of getting exactly 3 heads:

P(X = 3) = C(4, 3) * (0.5)^3 * (1 - 0.5)^(4 - 3) = 4 * (0.5)^3 * 0.5 = 4 * 0.125 * 0.5 = 0.5 * 0.125 = 0.0625

So, the probability of getting exactly 3 heads (gerb) when flipping a coin 4 times is 0.0625 or 6.25%.