## Probability Questions

__Probability__

**Directions for 1 – 4: State true or false**

**1. If the probability of a candidate winning an election is 80%, then the probability of the opponent winning the election is also 80%.**

**2. If two dice are thrown simultaneously then the total number of outcomes is 12.**

**3. A throws a coin twice and ‘B’ throws a similar coin thrice, the possibility of getting ‘all heads’ is more for ‘B’ than ‘A’.**

**4. The sum of the probability of an event happening and the same not happening is always the same. 1. F 2. F 3. F 4. F**

**5. An unbiased die is thrown. What is the probability of getting?**

**(i) an even number?**

**(ii) a multiple of 5?**

**(iii) an even number or a multiple of 3?**

**(iv) a multiple of 2 and 3?**

**6. Two unbiased coins are tossed simultaneously. What is the probability of getting**

**(i) all heads? (ii) at least one head? (iii) at the most one tail? (iv) at least one head and one tail?**

**7. Two dice are thrown simultaneously. What is the probability of getting? (i) an odd number as the sum? (ii) a total of at least 10? (iii) the same number on both dice? (iv) a sum greater then 10?**

**8. Find that the probability of a leap year selected at random will contain 53 Mondays.**

**9. One card is drawn from a pack of 52 cards. What is the probability of getting (i) an ace or a king? (ii) a red card and a king? (iii) a face card? (iv) a king or a queen or a jack?**

**10. All the face cards are removed from a pack of 52 cards and are then shuffled well. One card is selected from the remaining cards. What is the probability of (i) getting an ace? (ii) getting a red card? (iii) getting 10 of spade? (iv) getting a number less than 5?**

**11. A bag contains five red balls and some white balls. If the probability of drawing a white ball is double that of a red ball, find the number of white balls in the bag.**

**12. A bag contains 20 balls out of which ‘x’ are red. (i) If one ball is drawn at random, what is the probability that it will not be a white ball? (ii) If five more red balls are added, the probability of drawing a red ball will become 40%. Find the number of balls which are not red.**

**13. 1000 tickets of a lottery were sold and there are three prizes in the lottery. If Sachin has purchased one ticket, what is the probability of his winning a prize?**

**14. 26 cards marked with English letters A to Z (one letter on each card) are shuffled well. If one card is selected at random, what is the probability of getting? (i) a vowel? (ii) a letter in the word PROBABILITY?**

**Q.... 50 Mohan and Salim are friends. What is the probability that both will have (i) the same birthday? (ii) different birthdays? (iii) their birthday on the same weekday?**

**15. A jar contains 24 marbles. Some are blue and the others are green. If a marble is drawn at random, the probability that it is green is 3/2 . Find the number of blue marbles in the jar. 52. What is the probability that a number selected at random from the numbers 10, 20, 20, 30, 30, 30, 40, 40, 40, 40 will be their mean?**

**16. A game consists of tossing a coin three times and noting the outcome each time. If one gets the same outcome in all the three tosses, then he wins. What is the probability of a participant winning the game?**

**16. While shuffling a pack of 52 cards, Khushi dropped one card by mistake. What is the probability of the dropped card being a red queen?**

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