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 blue.

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

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Compute the probability that three randomly selected peanut M&M’s are all orange.

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

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

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Respuesta :

a) P(BL') = 0.77

b) P(BL) + P(G) = 0.380

c) 0.012167 = 0.012 to 3 d.p

d) 0.456533 = 0.456 to 3 d.p

e) 0.543467= 0.543 to 3 d.p

Probability of brown M&M's = P(Br) = 0.12

Probability of yellow M&M's = P(Y) = 0.15

Probability of red M&M's = P(R) = 0.12

Probability of blue M&M's = P(BL) = 0.23

Probability of orange M&M's = P(O) = 0.23

Probability of green M&M's = P(G) = 0.15

Total probability = 1

a) The probability that a randomly selected peanut M&M is not blue = 1 - P(BL) = 1 - 0.23 = 0.77

b) Tblue he probability that a randomly selected peanut M&M is blue or green = P(BL) + P(G) = 0.23 + 0.15 = 0.38

c) The probability that three randomly selected peanut M&M's are all orange= P(O) × P(O) × P(O) = 0.23 × 0.23 × 0.23 = 0.012167

d) If you randomly select three peanut M&M's, compute that probability that neither of them are orange

This probability = P(O') × P(O')×P (O')

P(O') = 1 - P(0) = 1 - 0.23 = 0.77

P(NO)=P(O') × P(O')  × P(O')= 0.77 × 0.77× 0.77 = 0.456533

e) If you randomly select three peanut M&M's, compute that probability that at least one of them is Orange

let the probability of at least 1 of  them being orange be P(AO)

let the probability of none of them being orange be  P(NO)

we know that

P(AO) = 1- P(NO)

          = 1- 0.456533

         =  0.543467

learn more about of probability here

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