Question

if i had 1bag containing 6red chips & 5 yellow chips. another bag contains 6 red chips and 4 yellow chips. a chip is drawn from each bag what is the probability that both chips are yellow

Answer 1

Pr=5/11 * 4/10

Answer 2

9/22

Answer 3

[AI-generated answer — Explain Bot]

To find the probability that both chips drawn are yellow, we need to determine the probability of drawing a yellow chip from the first bag and a yellow chip from the second bag, and then multiply the two probabilities together.

Let's start with the probability of drawing a yellow chip from the first bag. The bag contains a total of 6 red chips and 5 yellow chips. So, the probability of drawing a yellow chip from the first bag is:

Probability of drawing a yellow chip from the first bag = Number of yellow chips / Total number of chips in the first bag

Probability of drawing a yellow chip from the first bag = 5 / (6 + 5) = 5 / 11

Next, let's calculate the probability of drawing a yellow chip from the second bag. The second bag contains 6 red chips and 4 yellow chips. So, the probability of drawing a yellow chip from the second bag is:

Probability of drawing a yellow chip from the second bag = Number of yellow chips / Total number of chips in the second bag

Probability of drawing a yellow chip from the second bag = 4 / (6 + 4) = 4 / 10 = 2 / 5

Finally, we multiply the two probabilities together:

Probability of drawing a yellow chip from the first bag * Probability of drawing a yellow chip from the second bag = (5 / 11) * (2 / 5)

Multiplying these probabilities gives us:

Probability of both chips being yellow = 10 / 55

Therefore, the probability that both chips drawn are yellow is 10/55 or approximately 0.182.