Question

A bag contains 8 red, 2 green, 5 blue, and 3 yellow marbles. Find the probability ofrandomly selecting a green marble, and then a yellow marble if the first marble isreplaced.01/9O 1/65/181/54

Answer 1

Explanation

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible

$P=\frac{favorable\text{ outcomes}}{\text{total outcomes}}$

then

Step 1

let

$\begin{gathered} \text{total outcomes= 8 red+2 gr}en\text{ +5 blue+3 yellow marbles} \\ \text{total outcomes=}18\text{ marbles} \end{gathered}$

so,

. Find the probability of

randomly selecting a green marble is

$\begin{gathered} P=\frac{favorable\text{ outcomes}}{\text{total outcomes}} \\ P=\frac{2\text{ gr}en\text{ marble}}{18\text{ marble}} \\ P=\frac{1}{8} \end{gathered}$

Step 2

now, the marble is replaced,

find the posibility of to get a yellow marble

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