at seaside farms, there are a number of adult goats and a number of kids (baby goats). some of them are…

at seaside farms, there are a number of adult goats and a number of kids (baby goats). some of them are spotted and the rest have solid - colored coats.\n| | kids | adult goats | total |\n|--|--|--|--|\n| spotted | 20 | 60 | 80 |\n| solid - colored | 40 | 45 | 85 |\n| total | 60 | 100 | 160 |\na goat is chosen at random. let a be the event that the randomly chosen goat is an adult. let b be the event that the randomly chosen goat is spotted. complete the paragraph.\nthe probability of a is 0.625, and the conditional probability of a given b is \nso, events a and b must independent.

at seaside farms, there are a number of adult goats and a number of kids (baby goats). some of them are spotted and the rest have solid - colored coats.\n| | kids | adult goats | total |\n|--|--|--|--|\n| spotted | 20 | 60 | 80 |\n| solid - colored | 40 | 45 | 85 |\n| total | 60 | 100 | 160 |\na goat is chosen at random. let a be the event that the randomly chosen goat is an adult. let b be the event that the randomly chosen goat is spotted. complete the paragraph.\nthe probability of a is 0.625, and the conditional probability of a given b is \nso, events a and b must independent.

Answer

Explanation:

Step1: Recall conditional - probability formula

$P(A|B)=\frac{P(A\cap B)}{P(B)}$ $P(A\cap B)=\frac{60}{160}$, $P(B)=\frac{80}{160}$

Step2: Calculate $P(A|B)$

$P(A|B)=\frac{\frac{60}{160}}{\frac{80}{160}}=\frac{60}{80}=0.75$

Answer:

$0.75$; not