The masterfoods company says that before the introduction of purple, yellow candies made up 20% of their plain candies, red another 20%, and orange, blue and green each made up 10%. the rest were brown. if you pick a three m& ms in a row (assume with replacement), what is the probability that they are all brown?
a. 0.09
b. 0.027
c. 0.3
d. 0.6

The probability that they are all Brown is option b. 0.027.

The probability of brown candy should be

= 1-0.20 -0.20 -0.10 - 0.10-0.10

= 0.30

Now

the probability should be

= 0.027

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b. 0.027

Step-by-step explanation:

We have been given that the Masterfoods Company says that before the introduction of purple, yellow candies made up 20% of their plain candies, red another 20%, and orange, blue and green each made up 10%.

Probability of a yellow candy would be 0.20 and probability of a red candy would be 0.20.

Probability of orange candy would be 0.10, probability of blue candy would be 0.10 and probability of green candy would be 0.10.

The probability of brown candy would be

To find the probability that three candies are all Brown, we will use multiplication rule of independent events as:

Therefore, the probability that that three candies are Brown would be 0.027 and option 'b' is the correct choice.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is