Two dice are rolled. If both dice have six faces numbered $1, 2, 3, 5, 7,$ and $11,$ then the probability that the sum of the numbers on the top faces is less than or equal to $8$ is

Two students,Anil and Ashima,appeared in an examination. The probability that Anil will qualify the examination is $0.05$ and that Ashima will qualify the examination is $0.10$. The probability that both will qualify the examination is $0.02$. Find the probability that at least one of them will not qualify the examination.

Two fair dice are rolled. The probability of the sum of digits on their faces being greater than or equal to $10$ is

$A$ single letter is selected at random from the word $PROBABILITY$. The probability that the selected letter is a vowel is

Let $A$ and $B$ be events in a sample space $S$ such that $P(A)=0.5$,$P(B)=0.4$ and $P(A \cup B)=0.6$. Observe the following lists. Match List-$I$ with List-$II$ and select the correct option.

List-$I$	List-$II$
$(i) \ P(A \cap B)$	$(1) \ 0.4$
$(ii) \ P(A \cap \bar{B})$	$(2) \ 0.2$
$(iii) \ P(\bar{A} \cap B)$	$(3) \ 0.3$
$(iv) \ P(\bar{A} \cap \bar{B})$	$(4) \ 0.1$

Three students $A, B,$ and $C$ are given a mathematics problem. The probabilities of them solving the problem are $1/2, 1/3,$ and $1/4$ respectively. What is the probability that the problem is solved?