Question is incomplete :
The weather forecast for the weekend is a 46% chance of rain for Saturday and a 54% chance of rain for Sunday. If we assume that consecutive days are independent events, What is the probability that it rains over the weekend (either Saturday or Sunday)? Please use 3 decimal places.
In fact, weather on consecutive days depends on similar atmospheric conditions and therefore consecutive days are not independent events.With the weather forecast of the previous exercise, the probability that it rains over the weekend (either Saturday or Sunday) isA. 0.7516B. 0.3758 C. 0.2484D. Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.
Answer:
0.7516 ;
D.) Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.
Explanation:
Let :
Saturday = A ; Sunday = B
P(A) = 0.46 ; P(B) = 0.54
If A and B are independent :
P(AuB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.46 * 0.54 = 0.2484
P(AuB) = 0.46 + 0.54 - 0.2484
P(AuB) = 0.7516
If A and B are not independent, and how the weather on Saturday affect the weather on Sunday and vice versa. Hence, we cannot compute AuB