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Oliga [24]
1 year ago
10

Seventy percent of kids who visit a doctor have a fever and 21% of kids have fever and sore throats . what is the probability th

at a kid who goes the doctor has a sore throat given that he has a fever? (when entering your answer remember that the probability is a number between 0 and 1)
Mathematics
1 answer:
Neko [114]1 year ago
3 0

The probability that a kid who goes to the doctor has a sore throat given that he has a fever is <u>0.30 or 30%</u>. Computed using conditional probability.

The probability of any event A given that event B has already taken place is found using the formula P(A|B) = P(A ∩ B)/P(B). This is known as conditional probability, where P(A ∩ B) is the probability of events A and B, and P(B) is the probability of event B.

In the question, we are given that 70% of kids who visit a doctor have a fever and 21% of kids have a fever and sore throats.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever.

We suppose the event of going to the doctor while having a fever to be B, and going to a doctor while having a sore throat to be A.

We are given that 70% of kids who visit a doctor have a fever, that is, the probability of event B, P(B) = 70% = 0.7.

We are given that 21% of kids who visit a doctor have a fever and sore throats, that is, the probability of event A and event B, P(A ∩ B) = 21% = 0.21.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever, that is, we are asked to find the conditional probability of event A, when event B has already taken place, that is, P(A|B).

By formula, we know that:

P(A|B) = P(A ∩ B)/P(B) = 0.21/0.70 = 0.30.

Thus, the probability that a kid who goes to the doctor has a sore throat given that he has a fever is <u>0.30 or 30%</u>.

Learn more about conditional probability at

brainly.com/question/10739997

#SPJ4

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Step-by-step explanation:

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<h3>Answer:  w = 31</h3>

===================================================

Explanation:

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------------------------------------

Extra info:

This value of w leads to

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Step-by-step explanation:

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