By definition of conditional probability, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).
<h3 /><h3>Definition of probability</h3>
Probability is the greater or lesser possibility that a certain event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
<h3>Definition of conditional probability</h3>
The conditional probability P(A|B) is the probability that an event A occurs, knowing that another event B also occurs. That is, it is the probability that event A occurs if event B has occurred. Is defined as:
P(A|B) = P(A∩B)÷ P(B)
<h3 /><h3>Probability that the person also likes tomatoes on their salad</h3>
In this case, you know:
- Event A: Person likes tomatoes on their salad.
- Event B: Person likes cheese on their salad.
Being the event A∩B (A intersection B) when A and B occur simultaneously, then:
- P(A)= 78%=0.78
- P(B)= 49%= 0.49
- P(A∩B)= 36%=0.36
Suppose a person who eats salad is randomly selected and likes cheese on his salad, the probability that the person also likes tomatoes on their salad is:
P(B|A) = P(A∩B)÷ P(B)
Then:
P(A|B) = 0.36÷0.49
<u><em>P(B|A) = 0.73= 73%</em></u>
Finally, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).
Learn more about conditional probability:
brainly.com/question/14398287
brainly.com/question/19489568
#SPJ1
