In a certain lottery, the probability that a number between 14 and 20, inclusive, is drawn is 1/6 . If the probability that a number 14 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn? Select
A) 1/18
B) 1/6
C) 1/2
D) 1/3
E) 5/6
You can simply use sets concept in this question. The formula   Total = n(A) + n(B) - n(A and B) is applicable here too.   Set 1: Number 14 or larger   Set 2: Number 20 or smaller   1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either14 or moreOR20 or lessOR both)   2/3 + P(Set 2) - 1/6 = 1   P(Set 2) = 1/2   Answer (1/2)
<result>C</result>
In a certain lottery, the probability that a number between 14 and 20, inclusive, is drawn is 1/6 . If the probability that a number 14 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?