A bag has four green marbles, three red marbles, and three yellow marbles. What is the probability that you pick a red marble, do not replace it, and pick another red marble?

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1 Answer
Jim G.
May 12, 2018

1/15115

Explanation:

"the measure of probability is"the measure of probability is

•color(white)(x)"total favourable outcomes"/"total possible outcomes"∙xtotal favourable outcomestotal possible outcomes

"favourable outcome is red of which there are 3"favourable outcome is red of which there are 3

"total possible outcomes "=4+3+3=10total possible outcomes =4+3+3=10

rArrP("red")=3/10⇒P(red)=310

color(blue)"red marble is not replaced"red marble is not replaced

"favourable outcome is now 2"favourable outcome is now 2

"total possible outcomes "=9total possible outcomes =9

rArrP("red")=2/9⇒P(red)=29

P("red/red")=3/10xx2/9=6/90=1/15P(red/red)=310×29=690=115

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