2. Assume you have a 1lb. bag of Milk Chocolate M&M’s® Easter blend candies that

Question

2. Assume you have a 1lb. bag of Milk Chocolate M&M’s® Easter blend candies that contains the following breakdown: 22% pastel yellow 18% pastel pink 17% pastel green 24% pastel blue 19% pastel purple Let event A = {choose a yellow, green, or purple M&M} and event B = {choose a pink, purple, or blue M&M}. 1. If you randomly select one M&M from the bag, what is P (A or B)? 2. If you randomly select one M&M from the bag, what is P (A and B)? NOTE: These 2 events are not independent

Explanation / Answer

a) A or B = {yellow, green, purple, pink, blue}

P(A or B) = P(yellow) + P(green) + P(purple) + P(pink) + P(blue)

= 0.22 + 0.17 + 0.19 + 0.18 + 0.24

= 1

b) A and B = {purple}

P(A and B) = P(purple) = 0.19

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