Question

Two balls are chosen randomly from an urn containing 6 red and 8 black balls. Suppose that we win Rs 15 for each red ball selected and we lose Rs 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