Question

A bag contains:

• 2 white marbles
3 brown marbles
4 purple marbles
• 6 orange marbles
A marble will be drawn from the bag and replaced 75 times. What is a reasonable prediction for the number of times a brown or purple marble
will be drawn?
50
45
35
30
th

Answer 1

45

Explanation:

There are 45 total marbles. The probability of drawing a yellow marble on the first draw is 3/4. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.