Chapter 14 Class 10 Probability
Concept wise

Ex 14.1, 9 - Chapter 14 Class 10 Probability

Last updated at April 16, 2024 by

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Transcript

Ex 14.1, 9 A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? Total number of marbles = 5 + 8 + 4 = 17 Number of marbles which are white = 5 P(marble taken out is red) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘  π‘€β„Žπ‘–π‘β„Ž π‘Žπ‘Ÿπ‘’ π‘Ÿπ‘’π‘‘)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘ ) = πŸ“/πŸπŸ• Ex 14.1, 9 A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (ii) white? Total number of marbles = 17 Number of marbles which are white = 8 P(marble taken out is white) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘  π‘€β„Žπ‘–π‘β„Ž π‘Žπ‘Ÿπ‘’ π‘€β„Žπ‘–π‘‘π‘’)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘ ) = πŸ–/πŸπŸ• Ex 14.1, 9 (Method 1) A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (iii) not green? P(marble taken out is not green) = P(marble taken out is white) + P(marble taken out is red) = 8/17 + 5/17 = πŸπŸ‘/πŸπŸ• Ex 14.1, 9 (Method 2) A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (iii) not green? P(marble taken out is not green) = 1 – P(marble taken out is green) Total number of marbles = 17 Number of marbles which are green = 4 P(marble taken out is green) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘  π‘€β„Žπ‘–π‘β„Ž π‘Žπ‘Ÿπ‘’ π‘”π‘Ÿπ‘’π‘’π‘›)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘ ) = πŸ’/πŸπŸ• Now, P(marble taken out is not green) = 1 – P(marble taken out is green) = 1 – πŸ’/πŸπŸ• = (17 βˆ’ 4)/17 = πŸπŸ‘/πŸπŸ•

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.