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madreJ [45]
3 years ago
10

A box contains 6 red and 8 green marbles. You reach in and remove 3 marbles all at once.

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:\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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