Let's play a game of probability

Ahmed played a game at the fair. He had to pick 2 balls from a basket of 50 whilst blindfolded.

There were a range of different c o l o u r e d \color{#3D99F6}{c}\color{#D61F06}{o}\color{#20A900}{l}\color{#E81990}{o}\color{#EC7300}{u}r\color{#69047E}{e}\color{#302B94}{d} balls in the bag. He tooked 2 out and handed them to a lady running the game. Both balls were black . She looked at the 2 balls and said:

“The probability of you doing that is 4 175 " \text{“The probability of you doing that is }\large\frac{4}{175}\text{"}

Given that there were at least three different types of colors of balls in the basket, find the maximum number of r e d \color{#D61F06}{red} balls in the bag.

Clarification: There is at least one red ball in the basket.


Image credits : Think Stock Photos


The answer is 41.

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1 solution

Steven Chase
Jul 31, 2016

Great solution sir!

Armain Labeeb - 4 years, 10 months ago

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