Ex 15.1, 9 - A box contains 5 red marbles, 8 white marbles - Bag/ Box / Piggy bank

  1. Chapter 15 Class 10 Probability
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Ex 15.1, 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) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘š๐‘Ž๐‘Ÿ๐‘๐‘™๐‘’๐‘  ๐‘คโ„Ž๐‘–๐‘โ„Ž ๐‘Ž๐‘Ÿ๐‘’ ๐‘Ÿ๐‘’๐‘‘)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘š๐‘Ž๐‘Ÿ๐‘๐‘™๐‘’๐‘ ) = 5/17 Ex 15.1, 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) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘š๐‘Ž๐‘Ÿ๐‘๐‘™๐‘’๐‘  ๐‘คโ„Ž๐‘–๐‘โ„Ž ๐‘Ž๐‘Ÿ๐‘’ ๐‘คโ„Ž๐‘–๐‘ก๐‘’)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘š๐‘Ž๐‘Ÿ๐‘๐‘™๐‘’๐‘ ) = 8/17 Ex 15.1, 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 = 13/17 Ex 15.1, 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 โ€“ P(marble taken out is green) Total number of marbles = 17 Number of marbles which are green = 4 P(marble taken out is green) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘š๐‘Ž๐‘Ÿ๐‘๐‘™๐‘’๐‘  ๐‘คโ„Ž๐‘–๐‘โ„Ž ๐‘Ž๐‘Ÿ๐‘’ ๐‘”๐‘Ÿ๐‘’๐‘’๐‘›)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘š๐‘Ž๐‘Ÿ๐‘๐‘™๐‘’๐‘ ) = 4/17 P(marble taken out is not green) = 1 โ€“ P(marble taken out is green) = 1 โ€“ 4/17 = (17 โˆ’ 4)/17 = 13/17

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