If a seed is planted, it has a 90% chance of growing into a healthy plant. If 12

Question

If a seed is planted, it has a 90% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that exactly 4 don't grow? Round your answer to 4 places after the decimal.

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]

Compute the probability that a randomly selected peanut M&M is not orange.    

Compute the probability that a randomly selected peanut M&M is red or green.    

Compute the probability that two randomly selected peanut M&M’s are both brown.    

If you randomly select six peanut M&M’s, compute that probability that none of them are orange.    

If you randomly select six peanut M&M’s, compute that probability that at least one of them is orange.

Explanation / Answer

a) P(Not orange) = 1 - 0.23 = 0.77

b) P(Red or green) = 0.12 + 0.15 = 0.27

c) P(Both brown) = 0.12*0.12 = 0.0144

d) P(None orange) = (1 - 0.23)6 = 0.208

e) P(Atleast one orange) = 1 - P(None orange) = 1 - 0.208 = 0.792

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