Q3: Consider an unopened bag of M&M plain chocolate candies. You open the bag and pull out one piece of candy at random; these candies come in six different colors: red, orange, yellow, green, blue, and brown. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is:

• Red: Proportions .13
• Orange: Proportions .20
• Yellow: Proportions .14
• Green: Proportions .16
• Blue: Proportions .24
• Brown: Proportions .13

Q3: Consider an unopened bag of M&M plain chocolate candies. You open the bag and pull out one piece of candy at random; these candies come in six different colors: red, orange, yellow, green, blue, and brown. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is:

Consider the following two events when randomly selecting one (and only one) candy from the bag:

F = the candy is brown andG = the candy is blue

a.Can the above distribution of colors be thought of as a legitimate probability model? Explain.

b.Are events F and G disjoint? Explain.

c.Are events F and G independent? Explain.