Question

If you draw an M&M candy at random from a bag of the candies, the piece you draw will be one of six colors: brown, red, yellow, green, orange, tan. 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.

The probability of drawing either a red or a tan candy is _____.

Note: Give you answer in decimal form, including the leading decimal, and keeping only one decimal place, ex. 0.9

Color Brown Red Yellow Green Orange Tan Probability 0.3 0.1 0.1 0.1 0.1

Answer 1

Suppose the probability of drawing Red candy is y Color (x) Brown Red Yellow Green Orange Tan 0.3 y 0.1 0.1 0.1 | 0.1 Probability P(x) P(x) =1 0.3+y+ 0.1 +0.1 +0.1 +0.1 = 1 y+0.7=1 y=1-0.7 y=0.3 Hence the probability of drawing Red candy is 0.3 Probability of drawing either a red or a tan candy=P (Red) + P(Tan) = 0.3 +0.1 Probability of drawing either a red or a tan candy=0.4 The probability of drawing either a red or a tan candy is 0.4