Who gets the red marble?

Probability Level 2

A bag contains 7 7 yellow marbles, 6 6 green marbles, 2 2 pink marbles, and 1 1 red marble. Amy, Andrew, Beto, and Cory are taking turns drawing marbles out of the bag in alphabetical order until someone draws the red marble. As a common fraction, what is the probability that Amy draws the red marble?

1 16 \frac{1}{16} 1 8 \frac{1}{8} 1 4 \frac{1}{4} 5 12 \frac{5}{12}

Nicholas Benedict by Nicholas Benedict , 13, USA

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2 solutions

As there are 4 people and 1 R e d {\color{#D61F06} Red} M a r b l e {\color{#D61F06} Marble} , each person has a 1 4 \frac{1}{4} chance of drawing the R e d {\color{#D61F06} Red} M a r b l e {\color{#D61F06} Marble}

1 Helpful 0 Interesting 0 Brilliant 1 Confused

Nice Solution @§martie On Brilliant

Nicholas Benedict - 3 months ago

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Thank you! Nice problem

§martie On Brilliant - 3 months ago

Eventually, one of them will have to get the marble.

The probability that any of them get the marble is 1 4 \boxed{\frac{1}{4}} , as there is an equal probability of any of them getting the red marble.

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