## 1. The probability of an impossible event is:

### Answer:

### Explanation:

An impossible event is something that cannot happen. Therefore, its probability is 0.

## 2. The probability of a sure or certain event is:

### Answer:

### Explanation:

A sure event is something that will definitely happen, hence its probability is 1.

## 3. The probability of getting a head when a fair coin is tossed is:

### Answer:

### Explanation:

A fair coin has 2 equally likely outcomes (head or tail). Hence, the probability of getting a head is 1/2.

## 4. The sum of the probabilities of all possible outcomes of an experiment is:

### Answer:

### Explanation:

The sum of probabilities of all possible outcomes is always 1.

## 5. If P(E) denotes the probability of an event E, then 0 ≤ P(E) ≤:

### Answer:

### Explanation:

Probability of any event lies between 0 and 1 inclusive.

## 6. What is the probability of getting a 5 in a single throw of a fair dice?

### Answer:

### Explanation:

A fair dice has 6 faces with numbers from 1 to 6. Hence, the probability of getting a 5 is 1 out of 6.

## 7. If the probability of winning a game is 0.3, what is the probability of losing it?

### Answer:

### Explanation:

Probability of winning + Probability of losing = 1. So, Probability of losing = 1 – 0.3 = 0.7.

## 8. In a single throw of two dice, what is the probability of getting a sum of 7?

### Answer:

### Explanation:

There are 6 ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) and 36 possible outcomes. Hence, the probability is 6/36 = 1/6.

## 9. The probability of an event E is 0.2. The probability of the event 'not E' is:

### Answer:

### Explanation:

Probability of not E = 1 – Probability of E = 1 – 0.2 = 0.8.

## 10. What is the probability of drawing a red card from a well-shuffled standard deck of playing cards?

### Answer:

### Explanation:

There are 26 red cards (13 diamonds and 13 hearts) in a deck of 52 cards. So, the probability of drawing a red card is 26/52 = 1/2.