Respuesta :
Answer: 1/13
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Explanation:
The vertical bar means "given", so saying "P(Horse | Female)" means "The probability of selecting a horse given the animal is female". Since we know the animal is female, we focus only on the second column.
There are 2 female horses out of 26 female animals total. Therefore, the probability we want is 2/26 = 1/13
Side note: The hint your teacher provides is also another route you can take, but I find it's a bit more complicated in my opinion.
P (Horse | Female) = 1/13
What is probability?
"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:
P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
What is conditional probability?
"It is the probability of an event occurring given that another event has already occurred."
Formula for conditional probability:
The probability of event A occurring given that event B has already occurred is,
P(A|B) = P(A ∩ B)/P(B)
where, P(A ∩ B) the joint probability of events A and B
For given example,
We need to find P (Horse | Female)
From given table we can observe that there are 40 animals on farm.
⇒ n(S) = 40
First we find the probability of female animals on farm.
⇒ number of female animals = 26
Using the formula of probability,
⇒ P(Female) = n(Female)/n(S)
⇒ P(Female) = 26/40
First we find the probability of female horse [P(Horse and Female)] animals on farm.
⇒ n(Horse and Female) = 2
Using the formula of probability,
⇒ P(Horse and Female) = n(Horse and Female) / n(S)
⇒ P(Horse and Female) = 2/40
Using the formula of conditional probability,
⇒ P (Horse | Female) = P (Horse and Female) / P(Female)
⇒ P (Horse | Female) = (2/40) / (26/40)
⇒ P (Horse | Female) = 2/26
⇒ P (Horse | Female) = 1/13
Therefore, P (Horse | Female) = 1/13
Learn more about probability here:
brainly.com/question/11234923
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