Question

В случайном эксперименте симметричную монету бросают дважды. Найдите вероятность того, что орёл не выпадет ни разу. Объясните, как решать! Из задачника по ЕГЭ.

Answer 1

25%% . ..................

Answer 2

Problem Analysis

We are given that a fair coin is tossed twice in a random experiment. We need to find the probability that the outcome is such that no heads (or "tails") occur.

Solution

To solve this problem, we can use the concept of probability and the principle of counting.

Let's break down the possible outcomes of tossing a coin twice:

1. The first toss can result in either heads (H) or tails (T). 2. The second toss can also result in either heads (H) or tails (T).

Since each toss is independent, we can multiply the probabilities of each toss to find the probability of a specific outcome.

Let's consider the event where no heads (or tails) occur. In this case, both tosses must result in tails (T).

The probability of getting tails on the first toss is 1/2, and the probability of getting tails on the second toss is also 1/2.

To find the probability of both events occurring, we multiply the probabilities together:

P(T on first toss) * P(T on second toss) = (1/2) * (1/2) = 1/4

Therefore, the probability that no heads (or tails) occur in two tosses of a fair coin is 1/4.

Answer

The probability that no heads (or tails) occur in two tosses of a fair coin is 1/4.