Question

a large bag of marbles contains equal amounts of 5 colors (red, orange, yellow, green, and Blue). Joaquin selects 1 marble then puts it back and selects another. find the probability of him selecting a yellow marble both times

Answer 1

The answer to this question is 5/25 five out of twenty five will be yellow.  

Answer 2

Answer:  The required probability is 4%.

Step-by-step explanation:  Given that a large bag of marbles contains equal amounts of 5 colors, red, orange, yellow, green, and blue. Joaquin selects 1 marble then puts it back and selects another.

We are to find the probability of selecting a yellow marble both times.

Let x number of marbles of each color is present in the bag.

Let S be the sample space for the experiment of selecting a marble from the bag.

n(S) = x + x + x + x + x = 5x.

Now, let A denote the event of selecting a yellow marble.

Then, n(A) = x.

Since the second marble is drawn after replacing the first one, so the probability of selecting a yellow marble both times is given by

$P=\dfrac{n(A)}{n(S)}\times \dfrac{n(A)}{n(S)}=\dfrac{x}{5x}\times\dfrac{x}{5x}=\dfrac{1}{25}=\dfrac{1}{25}\times 100\%=4\%.$

Thus, the required probability is 4%.