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A container contains 26 yellow, 6 red, 13 green, and 19 pink marbles. 20 marbles are added to the container randomly. How many of the added marbles are yellow if the chance of choosing a yellow marble out of  the container becomes 0.5.

A container contains 26 yellow, 6 red, 13 green, and 19 pink marbles. 20 marbles are added to the container randomly. How many of the added marbles are yellow if the chance of choosing a yellow marble out of  the container becomes 0.5. Correct Answer 16

Given 

Types of marbles = 26 yellow, 6 red, 13 green, 19 pink 

P(yellow Marble) after adding 20 more = 0.5

Concept used

P(Event) = Favourable outcomes/ Total outcomes

Calculation

Total marbles = 16 + 6 + 23 + 19 = 64 

After adding 20 marbles total marbles = 84

Let x be yellow marbles added to the container 

As per the question

(x + 26)/84 = 0.5

⇒x = 16

∴ 16 yellow marbles should be added

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