Question

An urn contains 5 mangoes and 4 apples. Three fruits are taken at random. If the number of apples taken is a random variable, then find the values of the random variable and number of points in its inverse images

Answer 1

Number of mangoes = 5

Number of Apples = 4

Total number of fruits = 9

Let ‘X’ be the random variable that denotes the number of apples taken, then it takes the values 0, 1, 2, 3

X(MMM) = 0

X(AMM or MAM or MMA) = 1

X(AAM or AMA or MAA) = 2

X(AAA) = 3

Value of the random variable	0	1	2	3	Total
Number of elements in inverse image	10	40	30	4	84