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ad-work [718]
3 years ago
8

A box contains red marbles. 8 green marbles 4 blue marbles and 3 yellow marbles. If 2 marbles are randomly selected without repl

acement, what is the probability that a red marble is selected and then a green marble is selected?
Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

Answer:

0.1052 = 10.52%

Step-by-step explanation:

The question missing the number of red marbles, it should be 5.  

You select 2 marble randomly without replacement. The word without replacement show that you pick the marble at different times, so the order is important. There are 5 red, 8 green, 4 blue, 3 yellow which means the total marble is 8+4+3= 16 marbles. The chance to pick red marble then a green marble will be:

5/20 * 8/19= 2/19= 0.1052 = 10.52%

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Answer:

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Use the exponent power:

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(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}

Apply the given rules;

(16y^{\frac{5}{4} +3} )^{\frac{1}{2}}

Simplify:

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then;

(16)^{\frac{1}{2}} \cdot (y^{\frac{17}{4}})^{\frac{1}{2}} = 4y^{\frac{17}{8}}

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