{"id":27130,"date":"2021-06-29T16:44:35","date_gmt":"2021-06-29T11:14:35","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27130"},"modified":"2021-06-29T16:44:35","modified_gmt":"2021-06-29T11:14:35","slug":"ncert-solutions-for-class-8-maths-chapter-5-ex-5-3","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-5-ex-5-3\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 5 Data Handling Ex 5.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Exercise 5.3<\/h2>\n

Question 1.
\nList the outcomes you can see in these experiments
\n(a) Spinning a wheel
\n(b) Tossing two coins together
\nSolution:
\n(a) Outcomes in spinning the given wheel are A, B, C, or D.
\n(b) Outcomes in tossing two coins together are HH, HT, TH, TT
\n[HT means Head on first coin + Tail on the second coin]
\n\"NCERT<\/p>\n

Question 2.
\nWhen a die is thrown, list the outcomes of an event of getting.
\n(i) (a) prime number
\n(b) not a prime number
\n(ii) (a) a number greater than 5
\n(b) a number not greater than 5
\nSolution:
\nPossible outcomes are 1, 2, 3, 4, 5 and 6
\n(i) (a) Outcomes are 2, 3 and 5
\n(b) Outcomes are 1, 4 and 6
\n(ii) (a) Outcomes greater than 5 is 6
\n(b) Outcomes of getting a number not greater than 5 are 1, 2, 3, 4 and 5<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nFind the
\n(a) Probability of the pointer stopping on D in (Question 1-(a))?
\n(b) Probability of getting an ace from a well-shuffled deck of 52 playing cards?
\n(c) Probability of getting a red apple. (See figure below)
\n\"NCERT
\nSolution:
\n(a) On the spinning wheel there are 5 sectors containing A, B, C, and D.
\nSince, there is only one sector containing D,
\nNumber of possible outcome = 1
\nNumber of equally likely outcomes = 5
\n\u2234 Probability = \\(\\frac{1}{5}\\)<\/p>\n

(b) Number of possible outcomes = 52
\nSince there are 4 aces in a pack of 52 cards, and out of the one ace can be obtained in 4 ways
\n\u2234 Probability of getting an ace = \\(\\frac{4}{52}=\\frac{1}{13}\\)<\/p>\n

(c) There are 7 apples in all
\nPossible number of ways = 7
\nSince there are 4 red apples
\nNo. of equally likely outcomes = 4
\n\u2234 Probability of getting a red apple = \\(\\frac{4}{7}\\)<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nNumbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box, and mixed well. One slip is chosen from the box without looking into it. What is the probability of?
\n(i) getting a number 6?
\n(ii) getting a number less than 6?
\n(iii) getting a number greater than 6?
\n(iv) getting a 1-digit number?
\nSolution:
\nSince there are 10 slips,
\nTotal number of outcomes = 10
\n(i) We can get a slip containing the number \u20186\u2019 only once
\nNumber of favourable outcome = 1
\n\u2234 Probability of getting the number = \\(\\frac{6}{10}\\)<\/p>\n

(ii) Numbers less than 6 are 1, 2, 3, 4 and 5
\nNo. of Favourable outcomes are 5
\n\u2234 Probability of getting a no. less than 6 = \\(\\frac{5}{10}=\\frac{1}{2}\\)<\/p>\n

(iii) Numbers greaterthan 6 are 7, 8, 9 and 10
\nNo. of favourable outcomes = 4
\n\u2234 Probability of getting a number greater than 6 = \\(\\frac{4}{10}=\\frac{2}{5}\\)<\/p>\n

(iv) One-digit numbers are 1, 2, 3, 4, 5, 6, 7, 8 and 9
\nNo. of favourable outcomes = 9
\n\u2234 Probability of getting a one-digit number = \\(\\frac{9}{10}\\)<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nIf you have a spinning wheel with 3 green sectors, 1 blue sector, and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?
\nSolution:
\nThere are 5 sectors is all (3 green + 1 blue + 1 red)
\nTotal possible outcomes = 5
\nSince there are 3 green sectors
\nNumber of favourable outcomes = 3
\n\u2234 Probability of getting a green sector = \\(\\frac{3}{5}\\)
\nAgain there are 4 non-blue sectors.
\nNumber of favourable outcomes = 4
\n\u2234 Probability of getting a non blue sector = \\(\\frac{4}{5}\\)<\/p>\n

Question 6.
\nFind the probabilities of the events given in question 2.
\nSolution:
\nWhen a die is thrown there are 6 outcomes in all (1, 2, 3, 4, 5 and 6)
\n(i) Since there are 3 prime numbers 2, 3 and 5
\nNumber of favourable outcomes = 3
\n\u2234 Probability of getting a prime number = \\(\\frac{3}{6}=\\frac{1}{2}\\)<\/p>\n

(ii) Since there are 3 non-prime numbers (1, 4 and 6)
\nNumber of favourable outcomes = 3
\n\u2234 Probability of getting a non prime number = \\(\\frac{3}{6}=\\frac{1}{2}\\)<\/p>\n

\"NCERT<\/p>\n

(iii) Since there is 1 number greater than 5 (i.e., 6)
\nNumber of favourable outcome = 1
\n\u2234 Probability of number greater than 5 = \\(\\frac{1}{6}\\)<\/p>\n

(iv) Since there are 5 numbers which are not greater than 5 (i.e., 1, 2, 3, 4 and 5)
\nNumber of favourable outcomes = 5
\n\u2234 The probability of a number which is not greater than 5 = \\(\\frac{5}{6}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Exercise 5.3 Question 1. List the outcomes you can see in these experiments (a) Spinning a wheel (b) Tossing two coins …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-5-ex-5-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.3 Questions and Answers are prepared by our highly skilled subject experts. 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