Question

На большой коробке наклеены буквы Т, О, Р, Т. Маленький Коля оторвал две буквы. Найдите вероятность того, что они обе одинаковые. Ответ округлите до сотых.

Answer 1

Дано 4 буквы. У нас две одинаковые буквы Т, следовательно, вероятность того, что Коля оторвёт букву Т равна 2/4 = 0.5.

После того, как оторвут одну букву Т, вероятность будет равна 1/3, значит:

2/4 * 1/3 = 2/12 = 1/6 = 0.17

Answer 2

Problem Analysis

A large box has the letters T, O, R, and T written on it. Little Kolya has torn off two letters. We need to find the probability that both torn letters are the same.

Solution

To find the probability, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total Number of Outcomes

The total number of outcomes is the number of ways we can choose 2 letters from the 4 available letters. This can be calculated using the combination formula:

Total Number of Outcomes = C(4, 2)

Using the combination formula, we can calculate:

C(4, 2) = 4! / (2! * (4-2)!) = 6

So, there are 6 possible outcomes when choosing 2 letters from the 4 available letters.

Number of Favorable Outcomes

The number of favorable outcomes is the number of ways we can choose 2 letters that are the same. Since there are 4 letters available and 2 of them are the same (both are T), the number of favorable outcomes is 1.

Probability Calculation

The probability of both torn letters being the same is the ratio of the number of favorable outcomes to the total number of outcomes:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

Substituting the values we calculated:

Probability = 1 / 6

Rounding the probability to the nearest hundredth, we get:

Probability ≈ 0.17

Therefore, the probability that both torn letters are the same is approximately 0.17.

Answer

The probability that both torn letters are the same is approximately 0.17.