A student applies for two national scholarships. The probability that she is awarded the first is 1/2 , while the probability for the second is only ¼. But the probability that she gets both is 1/6. Are the events that she gets the two scholarships independent of one another? Discuss what this means? Solution if both are independent events then probability that she gets both = P(A)*P(B) here product is 1/4 * 1/2 = 1/8 which is not equal to 1/6 (given) so both are not independent this means that both the scolarships are related, not independent.