Answer:
40%
Step-by-step explanation:
From the given statements:
The probability that it rains on Saturday is 25%.
P(Sunday)=25%=0.25
Given that it rains on Saturday, the probability that it rains on Sunday is 50%.
P(Sunday|Saturday)=50%=0.5
Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.
P(Sunday|No Rain on Saturday)=25%=0.25
We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).
P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75
Using Bayes Theorem for conditional probability:
P(Saturday|Sunday)=[TeX]\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}[/TeX]
=[TeX]\frac{0.5*0.25}{0.5*0.25+0.25*0.75}[/TeX]
=0.4
There is a 40% probability that it rained on Saturday given that it rains on Sunday.
To find the probability that it rained on Saturday given that it rained on Sunday, we can use Bayes' theorem. We are given the probabilities of rain on Saturday and Sunday, and we can use the law of total probability to calculate the probability of rain on Sunday. Then, using Bayes' theorem, we can determine the probability of rain on Saturday given that it rained on Sunday.
We need to use Bayes' theorem to find the probability that it rained on Saturday given that it rained on Sunday. Let's denote R1 as the event that it rains on Saturday and R2 as the event that it rains on Sunday. We are given P(R1) = 0.25, P(R2|R1) = 0.50, and P(R2|~R1) = 0.25, where ~R1 represents the event that it does not rain on Saturday. We want to find P(R1|R2), which is the probability that it rained on Saturday given that it rained on Sunday.
Calculating these values will give us the probability that it rained on Saturday given that it rained on Sunday.
#SPJ3
Line B: 2x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.
Answer:
c
Step-by-step explanation:
y=1/2x^2-4
If you can, please show how you solved/did it for me, I'm really stupid honestly lol.
Answer:
Infinite solution
Step-by-step explanation:
When they equal each other it is an infinite solution