Need help, I think it is 2/25. Do you have an equation that I can figure it?

You choose a marble at random from a bag containing eight brown marbles, six yellow marbles, and one purple marble. You replace the marble and then choose again. Find P(both yellow).
• 2/25
• 4/25
• 8/225
• 12/225

prob (2 yellow)

= (6/15)(6/15)
= 36/225
= 4/25

Since you are returning the first marble picked, the second probability is the same as the first one.

Thank you

To find the probability of drawing two yellow marbles, we need to find the probability of drawing a yellow marble on the first draw and a yellow marble on the second draw.

The probability of drawing a yellow marble on the first draw can be found by dividing the number of yellow marbles (6) by the total number of marbles (8 brown + 6 yellow + 1 purple = 15).

So, the probability of drawing a yellow marble on the first draw is 6/15 or 2/5.

Since the marble is replaced after the first draw, the probabilities for each draw remain the same.

Therefore, the probability of drawing a yellow marble on the second draw is also 2/5.

To find the probability of both events occurring, we multiply the probabilities together:

P(both yellow) = P(first yellow) * P(second yellow)
= (2/5) * (2/5)
= 4/25

Therefore, the correct answer is 4/25.