Question

Монету подбрасывают 4 раза подряд. Какова вероятность того,что все 4 раза выпадет орёл?

Answer 1

Вероятность выпадения орла при одном подбрасывании 1/2, тогда вероятность выпадения орла при подбрасывании монеты 4 раза подряд равна произведению 1/2*1/2*1/2*1/2 = 1/16

Answer 2

To calculate the probability of getting all four heads (or all four tails) when flipping a coin four times in a row, we need to consider that each flip is an independent event. For a fair coin, there are two equally likely outcomes: heads (H) and tails (T). The probability of getting heads (H) in a single coin toss is 1/2, and the same goes for tails (T).

Now, to find the probability of getting all four heads in a row, we simply multiply the probabilities of each individual event since they are independent. So, the probability (P) is:

P(all four heads) = P(H) × P(H) × P(H) × P(H) = (1/2) × (1/2) × (1/2) × (1/2) = 1/16.

Therefore, the probability of getting all four heads (or all four tails) when flipping a fair coin four times in a row is 1/16 or approximately 0.0625 (or 6.25%).