Question

Over a period of 55 days, the probability that a green coloured dress is sold is 40%. From the data given, estimate the probability that a green dress will be sold for at least 4 days out of the next 11 days.

• A. 0.8%
• B. 20%
• C. 8%
• D. 80%

Answer 1

The correct option is D 80%

Given,

Over a period of 55 days, the probability of at least 1 green coloured dress being sold is 40%.


Since, the data contains 5 numbers (1, 2, 3, 4 & 5), 40% of 5 numbers represents 2 numbers. Let the 2 numbers be 1 and 2.

The numbers have to appear in any one trial for at least 4 times or more as we have to find the probability of finding the sales in 4 days.

From the data given, we can see that Trial 1, Trial 2, Trail 3 and Trial 5 have at least 4 combined 1s and 2s.

So, total number of favorable outcomes is 4.

P(atleast one of the green colored dress is sold in next 4 days out of next $\text{11 days)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

$=\frac{4}{5}$

$=\frac{4}{5}\times 100$

$=80\%$