Question

Choosing ping-pong balls without replacement. There are 6 white and 2 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen. Enter your answers as fractions. They do not need to be reduced. (The "Preview" simply displays your answer in nice mathematical text. It does not mean that your answer is either right or wrong.) a) How many total balls are in the bag at the start? b) What is the probability

Answer 1

a) There are 8 balls in the bag at the start. b) The probability of drawing a yellow marble and then a green marble is 8/56.

Step-by-step explanation:

a) There are a total of 8 balls in the bag at the start (6 white and 2 orange).

b) To find the probability of drawing a yellow marble and then a green marble, we need to calculate the probability of each event separately and then multiply them together. The probability of drawing a yellow marble on the first draw is 2/8. After the first marble is drawn, there are 7 balls left, so the probability of drawing a green marble on the second draw is 4/7. Therefore, the probability is (2/8) * (4/7) = 8/56.