Question

В случайном эксперименте симметричную монету бросают 3 раза какова вероятность что орел выпадет больше раз чем решка

Answer 1

Всего вариантов 2*2*2=8, благоприятных 3: (роо), (оро), (оор). Вероятность 3/8, т.е. 0,375

Answer 2

Calculating the Probability

To calculate the probability that the outcome of flipping a fair coin three times will result in more heads than tails, we can use the concept of combinations.

The total number of possible outcomes when flipping a coin three times is 2^3 = 8, as each flip has two possible outcomes (heads or tails).

To determine the number of outcomes where there are more heads than tails, we need to consider the following possibilities: - 3 heads and 0 tails - 2 heads and 1 tail

# Case 1: 3 Heads and 0 Tails

The number of ways to get 3 heads and 0 tails is given by the combination formula C(3, 3) = 1.

# Case 2: 2 Heads and 1 Tail

The number of ways to get 2 heads and 1 tail is given by the combination formula C(3, 2) = 3.

Therefore, the total number of outcomes where there are more heads than tails is 1 + 3 = 4.

The probability of getting more heads than tails is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

P = favorable outcomes / total outcomes = 4 / 8 = 0.5

So, the probability that the outcome of flipping a fair coin three times will result in more heads than tails is 0.5.