Two dice are rolled together and the product (P) of their scores is obtained :

Event A : P is 6.

Event B : P is an odd number.

Event C : P is 35.

Which of the following event/events has probability equal to 0?

1. Events B and C

2. Events A and B

3. Event B

4. Event C

A bag contains 20 red balls, 12 blue balls and 8 green balls. Three balls are drawn one by one with replacement, the probability that the third ball being green is :

1. $\dfrac{1}{2}$

2. $\dfrac{2}{5}$

3. $\dfrac{1}{5}$

4. 1.8

A letter of English alphabet is chosen at random from English alphabets.

Assertion(A): The probability that the chosen letter is not a consonant is 5 : 52.

Reason(R): The probability of an event = $\dfrac{\text{Total number of outcomes}}{\text{Number of favourable outcomes}}$

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are false.

Number x is chosen from -3, -2, -1, 0, 1, 2 and 3. Also, x² ≤ 5.

Assertion(A): Probability for x² ≤ 5 is $\dfrac{3}{7}$.

Reason(R): Probability = $\dfrac{\text{Favourable outcomes}}{\text{Total number of outcomes}}$.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.