One bag contains 6 red chips and 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?

The probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

5/11 * 4/10 = ?

2/11

To find the probability that both chips drawn are yellow, we can use the concept of independent events.

Step 1: Calculate the probability of drawing a yellow chip from the first bag.
In the first bag, there are a total of 6 + 5 = 11 chips. And out of those 11 chips, 5 are yellow. Therefore, the probability of drawing a yellow chip from the first bag is 5/11.

Step 2: Calculate the probability of drawing a yellow chip from the second bag.
In the second bag, there are a total of 6 + 4 = 10 chips. And out of those 10 chips, 4 are yellow. Therefore, the probability of drawing a yellow chip from the second bag is 4/10.

Step 3: Calculate the probability of both events happening (independent events).
Since the two bags are separate and the drawing of a yellow chip from one bag does not affect the drawing from the other bag, we can multiply the probabilities of the two events.

So, the probability of both chips being yellow is (5/11) * (4/10) = 20/110 = 2/11.

Therefore, the probability that both chips drawn are yellow is 2/11.