If you draw an M&M candy at random from a bag of the candies, the candy you draw
ID: 3302438 • Letter: I
Question
If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. Assume the table below gives the probabilities for the color of a randomly chosen M&M.
What is the probability of drawing a red candy?
What is the probability that you draw neither a brown nor a green candy?
If you select two M&M’s and the colors are independent, then what is the probability that both are the same color?
What is the probability of drawing a yellow candy?
Color Probabilit Brown 0.3 Red Yellow Green Orange Blue 0.1 0.1 0.1 0.2Explanation / Answer
Probability of drawing a red candy = 0.3
Probability of neither a brown nor a green candy = 1 - Probability of brown or green candy
= 1 - (0.3+0.1)
= 0.6
Probability of yellow candy = 1 - Probability of any other colour
= 1 - (0.3+0.2+0.1+0.1+0.1)
= 0.2
Probability that both are the same colour = P(2brown) + P(2 red) + P(2 yellow) + P(2 green) + P(2orange) + P(2blue)
= 0.3x0.3 + 0.2x0.2 + 0.2x0.2 + 0.1x0.1 + 0.1x0.1 + 0.1x0.1
= 0.2
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