By using the concept of probability, it can be calculated that
Probability that it will rain on both the days = 0.04
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Probability of rain on the first day = 0.2
Probability of rain on the second day = 0.2
Assuming that the chance of rain is independent of the day
Probability that it will rain on both the days = 0.2 [tex]\times[/tex] 0.2 = 0.04
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Complete Question
The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (ABC), the walls are perpendicular to the level floor (ED), AC || ED, F is the midpoint of AC, and BF ⊥ AC.
During the week the Smiths plan to roof the cabin, there is a 20% chance of rain each day.
Mr. and Mrs. Smith plan to roof the cabin on 2 consecutive days. Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?
