Find the value of z and y
Answers
A box contains 20 mangoes out of which 4 are not good. If two mangoes are taken out without replacement what is the probable distribution of the number of bad mangoes in the sample?
So there are 20 mangoes, 4 are bad which means 16 are good.
20 × 5 = 100
4 × 5 = 20
16 × 5 = 80
So 20% are bad and 80% are good. If I take out 2 mangoes, I am taking out 2 - 5% chunks out of the total. There are 6 possible combinations of 2 bad mangoes from the bag, while there's 120 possible combinations of 2 good mangoes, and there is 64 combinations of one good and one bad mango. The total number of possibilities is 190.
6/190 = 0.0315789474 which equals 3.15789474% of the possibilities
120/190 = 0.6315789474, which is 63.15789474%
64/190 = 0.3368421053, which is 33.68421053%
So to round it out, 2 bad is about 3%, 2 good is about 63%, and 1 good and one bad is about 34%