Question

Помогие решить с объяснением!!!!!" У Ольги в копилке лежат 7 однорублёвых,6 двухрублёвых,9 пятирублевых и 3 десятирублевых монеты.Ольга наугад достаёт из копилки одну монету.Найдите вероятность того, что оставшаяся в копилке сумма составит менее 90 рублей"

Answer 1

В копилке было 94 рубля

Answer 2

Там 94 рубля так подумай над ответом

Answer 3

To find the probability that the remaining coins in Olga's piggy bank will add up to less than 90 rubles, we need to calculate the total number of possible outcomes and the number of favorable outcomes.

Total Number of Possible Outcomes:

The total number of possible outcomes is the sum of all the coins in Olga's piggy bank, which is 7 + 6 + 9 + 3 = 25.

Number of Favorable Outcomes:

To find the number of favorable outcomes, we need to consider all the possible combinations of coins that add up to less than 90 rubles. We can do this by listing all the possible sums and counting the number of sums that are less than 90.

Let's calculate the possible sums:

- One one-ruble coin: 1 ruble - One two-ruble coin: 2 rubles - One five-ruble coin: 5 rubles - One ten-ruble coin: 10 rubles - One one-ruble coin and one two-ruble coin: 1 + 2 = 3 rubles - One one-ruble coin and one five-ruble coin: 1 + 5 = 6 rubles - One one-ruble coin and one ten-ruble coin: 1 + 10 = 11 rubles - One two-ruble coin and one five-ruble coin: 2 + 5 = 7 rubles - One two-ruble coin and one ten-ruble coin: 2 + 10 = 12 rubles - One five-ruble coin and one ten-ruble coin: 5 + 10 = 15 rubles

Now, let's count the number of sums that are less than 90 rubles:

- 1 ruble: 1 favorable outcome - 2 rubles: 1 favorable outcome - 5 rubles: 1 favorable outcome - 10 rubles: 1 favorable outcome - 3 rubles: 2 favorable outcomes (one one-ruble coin and one two-ruble coin) - 6 rubles: 2 favorable outcomes (one one-ruble coin and one five-ruble coin) - 11 rubles: 2 favorable outcomes (one one-ruble coin and one ten-ruble coin) - 7 rubles: 3 favorable outcomes (one two-ruble coin and one five-ruble coin) - 12 rubles: 3 favorable outcomes (one two-ruble coin and one ten-ruble coin) - 15 rubles: 3 favorable outcomes (one five-ruble coin and one ten-ruble coin)

The total number of favorable outcomes is 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 = 19.

Calculating the Probability:

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 19 / 25 = 0.76

Therefore, the probability that the remaining coins in Olga's piggy bank will add up to less than 90 rubles is 0.76.

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