### Probability Class 10th Mathematics Tamilnadu Board Solution

##### Question 1.If ϕ is an impossible event, then P(ϕ) =A. 1B. C. 0D. Answer:P(ϕ) = 0 since ϕ is an impossible event.Question 2.If S is the sample space of a random experiment, then P(S) =A. 0B. C. D. 1Answer:Since S is the sample space thus P(S) = 1Question 3.If p is the probability of an event A, then p satisfiesA. 0 < p < 1B. 0 ≤ p ≤ 1C. 0 ≤ p < 1D. 0 < p ≤ 1Answer:Probability always lies between 0 and 1.Hence, P(A) = p⇒ Question 4.Let A and B be any two events and S be the corresponding sample space.Then =A. P(B) – P(A ∩ B)B. P(A ∩ B) – P(B)C. P (S)D. P [(A ∪ B)’]Answer: = As implies the portion of only event B. hence event A and the intersection between these two are not counted.Question 5.The probability that a student will score centum in mathematics is . The probability that he will not score centum isA. B. C. D. Answer:The probability that a student will score centum in mathematics is .Thus probability that he will not score centum is  Question 6.If A and B are two events such thatP (A) = 0.25, P (B) = 0.05 and P(A ∩ B) = 0.14, then P(A ∪ B) =A. 0.61B. 0.16C. 0.14D. 0.6Answer: = P (A)+ P (B)- ⇒ = 0.25+0.05-0.14 = 0.16Question 7.There are 6 defective items in a sample of 20 items. One item is drawn at random. The probability that it is a non-defective item isA. B. 0C. D. Answer:No of defective items = 6Total no of samples = 20Probability that the item is not defective = 1-6/20= Question 8.If A and B are mutually exclusive events and S is the sample space such that and S = A ∪ B, then P (A) =A. B. C. D. Answer:Since the event are mutually exclusive the intersection is 0.Thus P(AUB) = P(A)+P(B)⇒ P(AUB) = P(A)+3.P(A)⇒ 1 = 4.P(A)P(A) = Question 9.The probabilities of three mutually exclusive events A, B and C are given by and . Then P(A ∪ B ∪ C) isA. B. C. D. 1Answer:Since the events are mutually exclusive the intersections between the respective events will be 0.P(AUBUC) = P(A)+P(B)+P(C)  Question 10.If P(A) = 0.25, P (B) = 0.50, P(A ∩ B) = 0.14 then P (neither A nor B) =A. 0.39B. 0.25C. 0.11D. 0.24Answer:P(AUB) = 0.25-0.50-0.14 = 0.61Thus P (neither A nor B) = 1-P(AUB) = 1-0.61 = 0.39Question 11.A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is not red isA. B. C. D. Answer:Total no of balls = 12No of black balls = 5No of white balls = 4No of red balls = 3Probability thst the ball is not red   Question 12.Two dice are thrown simultaneously. The probability of getting a doublet isA. B. C. D. Answer:The outcomes on throwing a dice twice are: (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)(61),(6,2),(63),(6,4),(6,6),(6,6)Total outcomes = 36Probable outcome of a duplet = 6⇒ probability  Question 13.A fair die is thrown once. The probability of getting a prime or composite number isA. 1B. 0C. D. Answer:Total outcomes = 6Thee are 5 numbers which satisfy the prime and composite: 2,3,4,5,6Thus probability Question 14.Probability of getting 3 heads or 3 tails in tossing a coin 3 times isA. B. C. D. Answer:The outcomes when three coins are tossed aare:(H H H) (H H T) (H T H) (T H H) (T T H) (T H T) (H T T) (T T T)No of probable outcomes of getting of 3 heada or 3 tails = 2⇒ probability  Question 15.A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card isA. B. C. D. Answer:No of ace and king cards = 4+4 = 8Total no of cards = 52Thus no of cards neither ace nor king = 52-8 = 44Probability  Question 16.The probability that a leap year will have 53 Fridays or 53 Saturdays isA. B. C. D. Answer:Leap year has 52 weeks and 2 more days. For 53 Fridays those two should be Thursday, Friday or Friday, Saturday. Hence probability of 53 Fridays Similarly probability of 53 Saturdays Let these two events be A and B respectively.Now A and B can't occur simultaneously as there can't be any pair consisting of Friday and Saturday.So P(A or B) = P(A)+P(B)-P(AB) = Question 17.The probability that a non-leap year will have 53 Sundays and 53 Mondays isA. B. C. D. 0Answer:Since it is a non leap year thus there cannot be 53 number of Sundays and Mondays each. Thus its probability is 0.Question 18.The probability of selecting a queen of hearts when a card is drawn from a pack of 52 playing cards isA. B. C. D. Answer:There are 13 hearts of which 1 is queen of hearts out of 52.probability of selecting a queen of hearts when a card is drawn from a pack of 52 playing cards is Question 19.Probability of sure event isA. 1B. 0C. 100D. 0.1Answer:Since the event is sure, the probability of a sure event = 1.Question 20.The outcome of a random experiment results in either success or failure. If the probability of success is twice the probability of failure, then the probability of success isA. B. C. 1D. 0Answer:Let the probability of failure be x, then the probability of success is 2x.Thus probability of success =  PDF FILE TO YOUR EMAIL IMMEDIATELY PURCHASE NOTES & PAPER SOLUTION. @ Rs. 50/- each (GST extra)

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