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# Read the following passage and answer the questions given at the end

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Diwali Fair

A game in a booth at a Diwali Fair involves using a spinner first. Then, if the spinner stops on an even number, the player is allowed to pick a marble from a bag. The spinner and the marbles in the bags are represented in the given figure. Prizes are given, when a black marbles is picked. Shweta plays the same once.

(i) What is the probability that she will be allowed to pick a marble from the bag?
(ii) Suppose she is allowed to pick a marble from the bag, what is the probability of getting a prize, when it is given that the bag contains 20 balls out of which 6 are black?
CBSE 10th Class Mathematics
Past year question paper
Year 2020
SET 1, Code Number  – 30/5/1
Question Number –  33

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1. i) P(to pick a marble from the bag) = P(spinner stops an even number)
A = {2, 4, 6, 8, 10}
n (A) = 5
n (S) = 6

p(A) = n (A) / n (S)

p(A) = 5/6
(ii) P(getting a prize) = P(bag contains 20 balls out of which 6 are black)
= 6 /20
P(getting a prize) = 3 / 10

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