Answer:
[tex]P = \frac{5}{282} = 0.0177[/tex]
Step-by-step explanation:
First we need to find the total amount of apples in the crate:
Total = 10 + 14 + 4 + 18 = 46 apples
The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:
[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]
[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]
Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:
[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]
[tex]P(granny) = \frac{10}{47}[/tex]
The final probability we want is the product of those two probabilities:
[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]
