NCERT Solutions
Class 10 - Mathematics - Chapter 14: PROBABILITY - Exercise 14.1
Question 9

Question. 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?

(ii) white?

(iii) not green?

Answer:

(i) \(\dfrac{5}{17}\)

(ii) \(\dfrac{8}{17}\)

(iii) 13/17

Detailed Answer with Explanation:

Total number of marbles = 5 + 8 + 4 = 17. So P(red) = \(\dfrac{5}{17}\) and P(white) = \(\dfrac{8}{17}\). The event “not green” means the marble is either red or white, so the favourable marbles are 5 + 8 = 13 and P(not green) = 13/17.

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