Question

Two bags contain white and yellow balls. Bag 1 contains two white balls and four yellow balls. Bag 2 contains four white balls and five yellow balls. A ball is drawn at random from each container. What is the probability that both balls are white?

A. 1/9
B. 1/6
C. 4/27
D. 10/201​

Answer 1

C. 4/27

Explanation:

Let's use the multiplication rule of probability to calculate the probability that both balls drawn are white:

P(white ball from Bag 1) = 2/6 = 1/3

P(white ball from Bag 2) = 4/9

Therefore, the probability of drawing a white ball from each bag is:

P(white from Bag 1 and white from Bag 2) = P(white from Bag 1) * P(white from Bag 2)

= (1/3) * (4/9)

= 4/27

So, the answer is C. The probability that both balls are white is 4/27.