Question

В фирме такси в данный момент свободно 12 машин: 3 черных,3 желтых и 6 зеленых. по вызову выехала одна из машин,случайно оказавшаяся ближе всего к заказчику. Найдите вероятность того, что к нему приедет желтое такси.

Answer 1

$P= \frac{C_3^1}{C_{12}^1} =\frac{3}{12}=\frac{1}{4}=0,25$

Answer 2

P=3/(3+3+6)=3/12=1/4=0,25

Answer 3

Probability of a Yellow Taxi Arriving

To find the probability that a yellow taxi will arrive at the customer's location, we need to consider the total number of taxis available and the number of yellow taxis available.

According to the information provided, there are currently 12 taxis available: 3 black, 3 yellow, and 6 green. One of these taxis has already been dispatched to the customer's location.

To calculate the probability of a yellow taxi arriving, we need to determine the ratio of the number of yellow taxis to the total number of taxis.

The number of yellow taxis available is 3, and the total number of taxis available is 12. Therefore, the probability of a yellow taxi arriving can be calculated as:

Probability of a yellow taxi arriving = Number of yellow taxis / Total number of taxis

Probability of a yellow taxi arriving = 3 / 12

Simplifying the fraction, we get:

Probability of a yellow taxi arriving = 1 / 4

Therefore, the probability that a yellow taxi will arrive at the customer's location is 1/4.

Please note that this calculation assumes that all taxis have an equal chance of being dispatched and that the selection of the taxi is random.