4 A pair of fair dice is rolled write down the sample points wrt following

# 4 a pair of fair dice is rolled write down the sample

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4. A pair of fair dice is rolled, write down the sample points w.r.t. following events: The sum of the no of dots appearing on the uppermost faces is (i) 7 or 11 (ii) multiple of 3 (iii) a perfect square. 5. A pair of coins is tossed at a time find the probability that, 6. Both the coins show Head. ii) No coin shows Head. iii) Only one Head turns up. 7. A cubic die is thrown, find the probability that the no of dots appeared is (a) A prime number, (b) A number multiple of 2. 8. A box contains 20 tickets numbered 1-20. A ticket is drawn at random from the box, find the probability that, i) the ticket bares a number < 5. ii) the number on the ticket is divisible by 4. iii) it is a cube of a natural number. 9. A card is drawn from the pack of 52 playing cards find the probability that, (a) The card is a king card (b) It is a face card. 10. If two fair dice are thrown , what is the probability the sum of the no of dots on the dice is, a) greater than 8. b) between 5 and 8.
Maths_stats_fybcom 148 11. Three unbiased coins are tossed at a time find the probability that, (a) exactly one Head turns up. (b) At most 2 Heads turn up. (c) All 3 coins show Heads. 12. Two cards are drawn from the pack of 52 playing cards find the probability that, (a) Both the cards are of same suits. (b) Both are Ace cards. (c) Both are of different colour. 13. A pair of dice is rolled, write down the sample space and find the probability that, the sum of the no of dots appearing on the uppermost faces is,(a) 6 or 10. (b) multiple of 5. (c) a perfect square. 14. Four unbiased coins are tossed at a time find the probability that, (i)exactly 2 Heads turn up. (ii) at most 3 Heads turn up. (iii) at least 3 coins show Heads. 15. Three cards are drawn from the pack of 52 playing cards find the probability that, (i) all 3 cards are of same colour. (ii) Two cards are face cards. 9iii) Only face cards are drawn. 16. Two boxes identical in size and shape respectively contain 3 red, 4 blue and 5 red, 2 blue balls. One ball is drawn at random from each box. What is the probability that both the balls are of same colour. 17. A committee of 4 is to be formed from 3 Professors and 7 students in a college. Find the probability that it includes, a) only 2 Professors. b) there are at least 3 students. 18. A box contains 6 red, 4 green and 3 white balls. Two balls are drawn at random, find the probability that, a) both are of same colour. b) no white ball is drawn. c) the balls are of different colour. 19. Given P(A)=0.6, P(B)=0.5, and P(A B)= 0.4. Find P(AUB); P(A/B); P(B/A). 20. For two events A and B; P(A)= 2 5 , P(B‘) = 1 3 , P(AUB)= 5 6 . Find P(A B); P(A/B); P(only A); P(Only one). 21. For two mutually exclusive events A and B, P(A)=0.7 and P(B)=0.5, find P(A B) and P(A/B) 22. For the independent events A and B, P(A)= 1 2 , P(B) = 2 5 . Find P(A B); P(AUB);P(only B). 23. One of the two purses contains 4 Gold coins and 5 Silver coins, another purse contains 3 Gold and 6 Silver coins. A coin is drawn at random from one of the purses, find the probability that it is a silver coin.