Question

В правом кармане 4 монеты по 50 копеек и 3 по 5 копеек, а в левом — 6 по 50 копеек и 3 по 5 копеек. Из правого кармана в левый наудачу переложены 2 монеты. Найти вероятность извлечения монеты в 50 копеек из левого кармана после перекладывания.

Answer 1

Probability of Drawing a 50 Kopek Coin from the Left Pocket

To find the probability of drawing a 50 kopek coin from the left pocket after transferring 2 coins randomly from the right pocket to the left pocket, we need to consider the initial number of coins in each pocket and the number of 50 kopek coins in each pocket.

According to the information provided, initially, the right pocket contains 4 coins of 50 kopeks and 3 coins of 5 kopeks, while the left pocket contains 6 coins of 50 kopeks and 3 coins of 5 kopeks.

After transferring 2 coins randomly from the right pocket to the left pocket, the number of 50 kopek coins in the left pocket will be 6 + 2 = 8, and the total number of coins in the left pocket will be 8 + 3 = 11.

To calculate the probability of drawing a 50 kopek coin from the left pocket, we divide the number of 50 kopek coins in the left pocket by the total number of coins in the left pocket.

Probability of drawing a 50 kopek coin from the left pocket = Number of 50 kopek coins in the left pocket / Total number of coins in the left pocket

Plugging in the values, we get:

Probability = 8 / 11

Therefore, the probability of drawing a 50 kopek coin from the left pocket after transferring 2 coins randomly from the right pocket to the left pocket is 8/11.

Please note that the information provided is based on the given scenario, and the calculation assumes that the coins are drawn randomly from the left pocket.