The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?

A. 0.4869
B. 0.5904
C. 0.6234
D. 0.5834

Explanation:

P(winning prize atleast on one ticket)

= 1 – P(“Losing on all tickets”)
= 1 – (0.8)4 = (1 + (0.8)2)(1 – (0.8)2)
= (1.64)(0.36) = 0.5904