Calculating Probability for Complement of an Event

Q. A card is chosen at random from a standard deck of $52$ playing cards. What is the probability (in percent) of choosing a card that is not a spade?

1. 75

Q.

Two cards are drawn from a pack of $52$ cards.

What is the probability that one of them is a queen and the other is an ace

1. $\frac{2}{663}$

2. $\frac{2}{13}$

3. $\frac{4}{663}$

4. None of these

Q. A glass jar contains $5$ red, $3$ blue and $2$ green jelly beans. If a jelly bean is chosen at random from the jar, what is the probability that it is not a green jelly bean?

1. $\frac{1}{5}$
2. $\frac{2}{5}$
3. $\frac{3}{5}$
4. $\frac{4}{5}$

Q. A card is chosen at random from a well-suffled deck of $52$ playing cards. The probability of choosing a card that is not a queen is .

1. $\frac{1}{13}$
2. $\frac{12}{13}$
3. $\frac{13}{12}$
4. $\frac{13}{52}$

Q. The complement of an event $\text{E}$ is the

1. set of outcomes in sample space which belong to event $\text{E}$.
2. set of outcomes in sample space which do not belong to event $\text{E}$.
3. set of outcomes in sample space which belong to event ${\text{E}}^2$.
4. None of the above

Q. A fair die is thrown. The probability of not rolling a factor of $4$ is .

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$

Q. If the probability of an event $E$ is $\frac{7}{16}$, then what is the probability of complement of the event $E?$

1. $\frac{7}{16}$
2. $\frac{9}{16}$
3. $\frac{11}{16}$
4. $\frac{11}{16}$

Q. In a school there are $120$ students. $20$ students have no pets, $46$ have only $1$ pet, $33$ have $2$ pets, and $21$ have atleast $3$ pets. If a student is picked at random, what is the probability that the student has atleast $1$ pet?

1. $\frac{1}{6}$
2. $\frac{23}{60}$
3. $\frac{11}{40}$
4. $\frac{5}{6}$

Q. The complement of an event $\text{A}$ is represented by .

1. $\text{-A}$
2. $\overline{A}$
3. ${\text{A}}^2$

Q. Getting $1,2,3,5$ or $6$ on a fair dice is the same as not getting
on the fair dice.

Q. A card is chosen at random from a standard deck of $52$ playing cards. What is the probability (in percent) of choosing a card that is not a club?

1. $55\%$
2. $65\%$
3. $70\%$
4. $75\%$

Q. The complement of an event $A$ is represented by

1. $\overline{A}$
2. $A^2$
3. $-A$
4. None of the above