Mathematics: Abox contains 6 red and 8 green marbles. you reach in and remove 3 marbles all at once. (a) find the probability that these 3 marbles are all red. (enter your answer as a fraction.) (b) find the probability that these 3 marbles are all of the same color. (enter your answer as a fraction.)

Abox contains 6 red and 8 green marbles. you

jessiegarrison1

16.03.2022

$\frac{5}{91},\frac{38}{182}$

Step-by-step explanation:

(a)Probability that these three marbles are all red

choosing 3 red out of 6 is given by ^6C_3

and choosing 3 marble from 14 marbles= $^{14}C_3$

$Probability=\frac{^6C_3}{^{14}C_3}=\frac{5}{91}$

(b)All of same color

It is possible when they are of either red or green

For red it is $\frac{^6C_3}{^{14}C_3}$

For Green it is

$\frac{^8C_3}{^{14}C_3}$

total= $\frac{^6C_3}{^{14}C_3}+\frac{^6C_3}{^{14}C_3}$

= $\frac{38}{182}$

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dion27

16.03.2021

uhm.. what??

Step-by-step explanation:

btw the second picture kinda lookin like tendou

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