Question

Two balls are chosen randomly from an urn containing 6 red and 8 black balls. Suppose that we win ₹ 15 for each red ball selected and we lose ₹ 10 for each black ball selected. X denotes the winning amount, then find the values of X and number of points in its inverse images

Answer 1

Number of red balls = 6

Number of black balls = 8

‘X’ is the random variable denotes the winning amount.

∴ The values of ‘X’ are 0, 15, 30

i.e., X(BB) = 0

X(RB) = 15 + 0 = 15

X(RR) = 15 + 15 = 30

Value of X	0	15	30	Total
Number of elements in inverse images	1	2	1	4
	BB	RB, BR	RR