Question

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

Answer 1

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

The tens place of the two-digit number represents people buying A.C. in winter or not.
Since there is a $20\%$ chance of a person buying A.C. in winter, let 1 and 2 represent the person buying A.C. in winter.
Therefore 3 through 9 and 0 represents a person buying A.C. in summer.

From the simulation we see that 17 out of 50 people purchase A.C. and heaters in summer.

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