Certain and Impossible Events

Q. The probability of an impossible event is always $0$.

1. True
2. False

Q. An event is very likely to happen. Its probability is closest to .

Q.

The probability of happening of an impossible event that is, $P\left(\phi \right)$ is

1. $1$

2. $0$

3. $2$

4. $-1$

Q. A die is rolled once, The probability of getting an even prime number other than 2 is

1. $P\left(E\right)=0$
2. $P\left(E\right)=0.5$
3. $P\left(E\right)=1$

Q. Match the following types of events to their probability.

1. $1$
2. $0<\text{P(E)}<1$
3. $0$

Q. The probability of an Improbable event and a Certain event are $0$ and $1$ respectively.

1. True
2. False

Q. If today is Tuesday, the probability that tomorrow is a Wednesday is

1. $P\left(Wed\right)=0$
2. $P\left(Wed\right)=0.5$
3. $P\left(Wed\right)=1$

Q. A fair coin is flipped once. The probability of getting both, a head and a tail is

1. $P\left(HandT\right)=0$
2. $P\left(HandT\right)=0.25$
3. $P\left(HandT\right)=0.5$
4. $P\left(HandT\right)=0.75$
5. $P\left(HandT\right)=1$

Q. On throwing a fair die, the probabilities of rolling greater than $2$ but less than $3$ is .

Q. The probability of a certain event is always $1$.

1. True
2. False

Q. The total number of outcome(s) when a fair dice is thrown is/are:

1. 6

Q. The probability of rolling a fair die and getting a number that is greater than $2\pi$ is (take $\pi =3.14$)

1. $P(Number>6.28)=0$
2. $P(Number>6.28)=0.5$
3. $P(Number>6.28)=1$

Q.

Choose whether the outcomes are impossible, unlikely, even chance, likely, or certain:

Your team will win the football tournament.

Q. Which of the following statement(s) is(are) true?

1. Probability of a certain event is $1$
2. Probability of an impossible event is $0$
3. Probability of an event cannot be negative
4. Probability of an event can be negative

Q. A die is rolled, and events are defined as
$A:$ outcome is $7$
$B:$ outcome is less than $9$

Which of the following statement(s) is(are) true for above events?

1. $A$ is an impossible event
2. $A$ is a certain event
3. $B$ is a certain event
4. $B$ is an impossible event

Q.

$0\le P\left(E\right)\le$ _________.

Q. A fair coin is flipped once. What is the probability of getting a head and a tail simultaneously? Write the event type.

1. $0$, Certain event
2. $1$, Impossible event
3. $0$, Impossible event
4. $1$, Certain event