The probability of getting a sum of $9$ when two dice are thrown is

  • A
    $\frac{1}{6}$
  • B
    $\frac{1}{8}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{1}{12}$

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The probability that a randomly selected $2$-digit number belongs to the set $\{n \in N : (2^{n}-2) \text{ is a multiple of } 3\}$ is equal to:

The probability of getting a number greater than $2$ in throwing a die is

The probability that a teacher will give an unannounced test during any class meeting is $1/5$. If a student is absent twice,then the probability that the student will miss at least one test is

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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$

$A$ die is formed so that the probability of getting a number $i$ when it is rolled is proportional to $i$ $(i=1, 2, 3, 4, 5, 6)$. The probability of getting an odd number on the die when it is rolled is

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