Certain and Impossible Events

Q. Probability of an impossible event is always .

1. 0.5
2. 1
3. \N

Q. Which of the following is an impossible event?

1. The probability of getting a number greater than 6, when a die is thrown once.
2. Getting a blue ball out of the basket containing all colors of balls.
3. Getting a head, when a coin is tossed.
4. none of the above

Q. Which of the following statements are wrong?

1. When a coin is tossed, we always get a head.
2. When a die is rolled, any number from 1 to 6 can show up.
3. A card drawn from a deck of 52 cards is unique.
4. When a fair die is rolled, the probability of getting 3 is more than that of getting 2 because 3 is greater than 2.

Q. Classify the following into impossible and sure events.
(i) The sun rises in the east.
(ii) A die numbered 1 to 6 showing a multiple of 10.
(iii) A day in February having 29 hours.
(iv) An even number leaving no remainder when divided by 2.

Q. Which of the following is a certain event?

1. Sun rising from west.
2. Vehicle moving on the road meets an accident.
3. none of the above.
4. Christmas will be on 25th December of this year.

Q. Assertion: In a cricket match, a batsman hits 9 boundaries out of 45 balls he plays. The probability that in a given throw he does not hit the boundary is $\frac{4}{5}$.
Reason: $P\left(E\right)+P(\mathrm{not}E)=1$.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Choose the correct pair for each card.

1. Certain event
2. Uncertain event
3. more likely
4. probability=1
5. equally likely
6. chances are high
7. probability=0
8. chances are same

Q. The probability of certain event is:

1. $1$
2. $\frac{1}{2}$
3. $\frac{1}{3}$
4. $\frac{1}{6}$

Q. Probability of an impossible event will be always ______.

1. 0
2. 1
3. 0.5
4. none of the above