There is 25% chance that it rains on any particular day. What is the probability that there is at least one rainy day within a period of 7 days?

Options

A. `1-((1)/(4))^(7)`
B. `((1)/(4))^(7)`
C. `((3)/(7))^(7)`
D. `1-((3)/(4))^(7)`

Answer

D

Explanation

The prodability of rain in one day `= (25)/(100) = (1)/(4)`
Probability of getting at least one rainy day within a period of 7 days.
` = 1- [1-(1)/(4)]^(7) = 1-[(3)/(4)]^(7)`