Answer:
A. 0.56
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
We want to find .
We can relate the numbers using . So
P(H) = 0.70 , P(DH/H) = 0.80
So
The correct answer is given by option A.
<h3>
Answer: Choice B) 3:1</h3>
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Explanation:
Consider a very small town of only 4 people.
If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.
The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B
We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.
We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.
In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.
0.2 is
Greater than 0.02
Glad I could help, and good luck!
AnonymousGiantsFan
10:40
This ratio is 10/40. Divide both by 10. You will get 1/4. 1/4 is 1:4.
So, we have one answer
1/4
5:20
This ratio 5/20. Divide both by 5. You'll get 1/4. 1/4 is 1:4
1:4
1:4 is the ratio we had before.
3:12
This ratio is 3/12. Divide both by 3. You'll get 1/4. 1/4 is 1:4
1:4
8:33
This ratio can not be reduced further.
So, the solution is 8:33 which has a different ratio from all the other ones
Answer:
x = 13.5
Step-by-step explanation:
We know that base angles of an isosceles triangle are equal. The base angles of the triangle are (4x)° each. The vertex angle of the traingle is (6x-9)°. So according to angle sum property of triangle,