Question

There is a $20\%$ chance that there is bad weather at an airport at any given day. Find the estimated probability that the weather at the same airport is bad on two consecutive days using a simulator.
Take 1 representing bad weather, and 2, 3, 4, and 5 as clean weather.
Simulated data shows the following:

35	25	11	25	24	31	52	22	51	31
21	12	54	33	11	25	51	51	45	33
51	12	54	33	11	25	51	51	45	33
55	25	41	15	53	25	25	37	15	24
53	32	31	23	41	43	32	34	25	13

• A. $20\%$
• B. $40\%$
• C. $6\%$
• D. $4\%$

Answer 1

The correct option is A $20\%$

The simulator works with 5 digits from 1 through 5. Since the probability that the weather at the airport is bad is $20\%$, let's take 1, indicating the weather is bad, out of the 5 digits.

We can see that the simulator has randomly generated two digit numbers from 11 through 55.
The number 11 indicates bad weather for two consecutive days.

Since 11 appears 2 times out of the 50 randomly generated numbers, we can say

The estimated probability of getting a bad weather on two consecutive days
$=\frac{2}{50}\times 100=4\%$