need help determining the odds of something

Question

lets say there are unlimited barrels full of different fruits, each barrel has 100 fruits in it.

5% of all the fruits are pears

there is also a 1/25650 chance of any fruit to be golden

what are the odds of that 5% pear being golden?

i hope that makes sense, im not good with math

Answer 1

1/25650 = the probability a pear is golden = 3.89863548 x 10^-5

=3,89863548 x 10^-3 percent

try a simpler problem with 60 fruit

1/2 are pears and 1/3 of all are golden

what are the odds of a random pear being golden

Pr(g/p) = 1/3

60 fruit, 30 pears, 20 of all are golden

of those 20 golden fruit half are pears. 10/30= 1/3

so instead of 1/3, you have 1/25650

and instead of 1/2 you have 5%=.05 = 1/20

Pr(g/p) = probability of golden given a pear = 1/25650

the 1/2 and the 5% were surplusage, extraneous information

UNLESS the problem really intended to ask what is the probability

of a randomly selected fruit being a golden pear

then Probability = 1/25650 x .05 = 1/51300= 1.949317739 x 10^-6

unless it was a trick question, they wouldn't have mentioned the 5%

so it seems like they probably were asking what is the chance of a golden pear if you randomly select a fruit

even then that barrel with 100 fruit is irrelevant to the problem, if interpreted either way above

it seems like it's partly a trick question, trying to get you to use irrelevant numbers in the calculation