Mathematics: You have a jar containing 10 green marbles, 20 blue marbles, 10 white marbles and 15 red marbles for a combined total of 55 marbles. what is the percentage of the following occurring? express the occurrence’s probability as a fraction. a) you want to pick one green marble on the first draw b) you wish to pick one blue marble on the first draw.

You have a jar containing 10 green marbles, 20

rayray7155

10.03.2022

Since you may pick any of the marbles with the same probability, the answers will follow the pattern

$P = \dfrac{\text{number of required marbles}}{\text{total number of marbles}}$

So, the probability of picking a green marble is

$P = \dfrac{10}{55} = \dfrac{2}{11}$

And a blue marble is

$P = \dfrac{20}{55} = \dfrac{4}{11}$

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kfcnkfnmnfk9513

22.11.2020

You can write both numbers as fractions:

$6.3=\dfrac{63}{10},\quad 0.9=\dfrac{9}{10}$

Dividing by a fraction is the same as multiplying by its inverse, so we have

$\dfrac{63}{10}\div \dfrac{9}{10}=\dfrac{63}{10}\cdot\dfrac{10}{9}$

We can cross-simplify the 10's and we have

$\dfrac{63}{10}\cdot\dfrac{10}{9}=\dfrac{63}{9}=7$

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