Misc 1 - A box contains 10 red marbles, 20 blue, 30 green - Using combination

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  1. Chapter 16 Class 11 Probability
  2. Serial order wise
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Misc 1 A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that • all will be blue? 5 marbles are to be chosen from 60 (10 red + 20 blue + 30 green) Hence n(S) = 60C5 Let A be the event that all are blue Hence out of 20 blue marbles 5 will be chosen n(A) = 20C5 P(A) = 𝑛(𝐴)﷮𝑛(𝑆)﷯ = 𝟐𝟎𝑪𝟓﷮𝟔𝟎𝑪𝟓﷯ Misc 1 A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that (ii) at least one will be green? P(atleast one will be green) = 1 – P(none of marbles are green) Lets first calculate probably that none of marbles are green Let B be the event that none of marbles are green If marble is not green, it will be red or blue Hence, out of (20 + 10 = )30 marbles, 5 are to be selected Hence n(B) = 30C5 P(B) = 𝑛(𝐵)﷮𝑛(𝑆)﷯ = 30𝐶5﷮60𝐶5﷯ Hence, P(atleast one will be green) = 1 – P(none of marbles are green) = 1 – 𝟑𝟎𝑪𝟓﷮𝟔𝟎𝑪𝟓﷯

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