help... In a bag of M & M plain candies, the colors can be brown, yellow, red, b

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In a bag of M & M plain candies, the colors can be brown, yellow, red, blue, orange, or green. They occur in these proportions: Color Proportion Brown Yellow Red Blue Orange Green 0.13 0.14 0.13 0.20 0.16 1. What is the probability of getting a) Abrown and yellow M & Mif two candies are taken at the same time b) That a single candy is blue? c) What is the probability that a random M&M; is either red, yellow, or orange? Take a look at this table of marital status in 2006, from the US Census Bureau. It's known as a contingency table or two-way table, because it classifies each member of the sample or population by two variables-in this case, sex and marital status. 2. Women Total 127.7 13.9 22.8 25.0 55.3 Total 106.2113.5 219.7 Marital Status (in millions) Men Married Widowed Divorced Never Married 63.6 2.6 9.7 30.3 64.1 11.3 13.1 a) What's the probability that a randomly selected person is widowed or divorced? b) Find the probability that a randomly selected man is widowed or divorced.

Explanation / Answer

1)

a) P(taking out a brown and yellow M&M) = (0.13)(0.14) = 0.0182

b) Proportion of Blue candies = 1 - 0.13 - 0.14 - 0.13 - 0.20 - 0 .16 = 0.24

So, P(selected candy is Blue) = 0.24

c) P(randomly selected M&M is either red, yellow or orange) = 0.13 + 0.14 + 0.20 = 0.47

2)

a) P(randomly selected person is widowed or divorced) = (13.9 + 22.8) / 219.7 = 36.7 / 219.7 = 0.1670

b) P(randomly selected man is widowed or divorced) = (2.6 + 9.7) / 106.2 = 12.3 / 106.2 = 0.1158

3)

a) P(face card is drawn) = 12 / 52 = 0.2308

{There are 12 face cards in a deck of 52 cards}

b) P(a red card or a card showing 5 is drawn) = P(a red card is drawn) + P(a car showing 5 is drawn) - P(a red card and a card showing 5 is drawn)

= (26/52) + (4/52) - (2/52) = 28/52 = 0.5385

c) P(a non-face card or a card showing 7 is drawn) = P(a non-face card is drawn) + P(a car showing 7 is drawn) - P(a non-face card and a card showing 7 is drawn)

= (40/52) + (4/52) - (4/52) = 40/52 = 0.7692

{There are 40 non-face cards in a deck of 52 cards}

d) P(a black face card is drawn) = 6/52 = 0.1154

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