ASSIGNMENT 3

PROBABILITY: CLASS X

1. A bag contains cards numbering from 5 to 25. One card is drawn from the bag. Find the probability that the card has numbers from 10 to 15.

2. In 1000 lottery tickets there are 5 prize winning tickets. Find the probability of winning a  

prize, if a person buys one tickets.

3. Two dice are rolled simultaneously. Find the probability that the sum is more than and equal to 10.

4.  From the well shuffled pack of 52 cards. Two Black king and Two Red Aces are removed. What is the probability of getting a face card.

5.  A bag contains 5 red balls and ‘n’ green balls. If the P(green ball) = 3 × P (red ball) then what is the value of n.

6. Two black kings and two black jacks are removed from a pack of 52 cards. Find the probability of getting:

       (a) a card of hearts

       (b) a black card

       (c) either a red card or a king

       (d) a red king

       (e) neither an ace nor a king

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

1. all heads
2. at least one head
3. at the most one tail
4.  at least one head and one tail

8. A die is numbered in such a way that its faces show the numbers 1,2,2, 3, 3, 6. It is  thrown twice and the total score in two throws is noted. Find the sample space of the experiment. What is the probability that the total score

1. is even
2.  is odd
3.  is at least 5

9. In a game, Raju asks his friend Karan to write down a two-digit number secretly. What is   the probability that Karan will write a doublet? What is the probability that Karan’s number is divisible by 2, 3 and 5?
10. Two customers, Mohan and Nishu are visiting a shop in the same week (Sunday to Saturday). Each is likely to visit the shop on any day as on any other day. What is the probability that both will visit the shop on (i) the same day? (ii) Consecutive days?
11.  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?
12.  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.
13.  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?

      14. 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?

15.A piggy bank contains one hundred 50 p coins, fifty Re 1 coins, twenty Re 2 coins and ten Re 5 coins. If it is turned upside down one coin will fall. When Gautam turned it up side down for the first time, he got a Rs 2 coin. If he turns it upside down for a second time, what is the probability of getting (i) an amount more than Re 1? (ii) a Rs 5 coin?(iii) a 50 p coin or Re 1 coin? (iv) at least one rupee?