1. 17 cards numbered 1, 2, 3 …, 16, 17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is:
(i) Odd (ii) Even (iii) a Prime (iv) Divisible by 3 (v) Divisible by 3 and 2 both.
2. Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is probability that both will visit the shop on (i) same day (ii) different days?
3. Three coins are tossed once. Find the probability of: (i) 3 heads (ii) Exactly 2 heads (iii) At least 2 heads
4. Cards marked with numbers 3 to 152 are thoroughly mixed. If one card is drawn at random, find the probability that the number on the card is: - (i) An odd number (ii) A number less than 25 (iii) A number greater than 140 (iv) A number which is a perfect number (v) A prime number between 10 and 40.
5. In a class, there are 18 girls & 16 boys. The class teacher wants to choose 1 pupil for class monitor. She writes the name of each pupil on a card & puts them into a basket & mixes thoroughly. A child is asked to pick up one card from the basket. What is the probability that name written on the card is:- (i) the name of a girl (ii) the name of a boy.
6. 1500 families with 2 children were selected randomly, and the following data were recorded:
Compute the probability of a family chosen at random, having: - (i) 2 girls (ii)1girl (iii) no girl Also check whether the sum of these probabilities is 1.
7. Find the Probability of getting 53 Sundays in a leap year.
8. Find the probability of getting 53 Sundays in a non-leap year.
9. A dice is thrown twice. What is the Probability of (i) 5 will not come up either time?
(ii) 5 will come up at least once? [Hint: throwing a dice twice and throwing two dice simultaneously are treated as the same experiment.]
10.Two dice are thrown. Determine Probability of getting a multiple of 2 on the first dice and a multiple of 3 on the other.
11.Two dice are thrown simultaneously. Find the Probability of getting: -
(i) A total of 2 (ii) A sum of 7 (iii) A sum of 6 (iv) A sum of 8 (v) Doublets of even numbers.
Number of girls in family: 2 1 0
Number of families: 475 814 211
12.There are 840 tickets sold in a raffle. Bhawna bought 5 tickets and Shilpy bought 4 tickets.
What is Probability that
(a) Bhawna has a winning ticket? (b) Shilpy has a winning ticket?
13.A card is drawn from an ordinary pack and gambler bets that it is a spade or ace. What are odds against his winning the bet?
14.Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday) each is equally to visit the shop on any day as on another day. What is the Probability that both will visit the shop on :-
(i) Same day (ii) Consecutive days (iii) Different days.
15. Two dice are thrown simultaneously. List the sample space for this experiment.
16.In a single throw of 2 dices find the probability of getting:-
(a) A total of 7 (ii) A total of 11 (iii) Doublets (iv) Six as a product.
17.A box contains 19 balls bearing numbers 1, 2… 19. A ball is drawn at random from the box. What is Probability that number of the ball is:-(i) a prime number (ii) divisible by 3 or 5 (iii) neither divisible by 5 nor 10 (iv)an even number
18.From a pack of 52 playing cards, jacks, queens, kings and aces of red colour are removed.
From the remaining cards one card is drawn. Find the Probability that the card drawn is:
(a) A black queen (b) A red card (c) A jack (d) A diamond (e) A black card.