Question

It is estimated that there is a 20% chance that a person will buy an air conditioner in the winter, and a 40% chance that a person will buy a heater in the summer Using a simulator that generates random two-digit numbers using digits 0 through 9, estimate the probability that a person will buy both an air conditioner and a heater during the summer.
(Note: The ones place of a two-digit number and 1 through 4 represent a heater brought in the summer.
The tens place of the two-digit number and 1 and 2 represent an air conditioner brought in the winter.

26 32 64 08 66 11 76 01 79 67
22 61 87 72 53 49 59 81 68 09
94 78 38 56 42 77 19 48 20 05
02 83 85 82 54 43 69 12 21 91
76 46 98 14 40 45 56 64 96 92

• A. 34%
• B. 51%
• C. 36%
• D. 53%

Answer 1

The correct option is A 34%

The ones place of a two-digit number represents people buying heaters in the summer.

The tens place of a two-digit number represents people buying an air conditioner in the winter.
Since there is a 20% chance of a person buying an air conditioner in the winter, let 1 and 2 represent the person doing that.

Therefore, numbers 3 through 9 and 0 represent a person buying
an air conditioner in the summer. Observing the simulation, we can conclude that 17 out of 50 people purchase an air conditioner and a heater in the summer.

$\text{Estimated probability}=\frac{17}{50}\times 100=34\%$