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morpeh [17]
3 years ago
10

Suppose the inside bottom of a box is painted with three colors: one-third of the bottom area is blue, one-sixth is red, and one

-half is yellow. If you toss a tiny pebble into the box without aiming, what is the probability the pebble will NOT land on the color blue?

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

The probability that the pebble will NOT land on color blue is 0.67.

Step-by-step explanation:

We attribute the box area as the probability of the events.

So the probability of landing in the Red Area is 1/6, the probability of landing in the Blue Area is 1/3 and the probability of landing in the Yellow Area is 1/2.

P(Red)=\frac{1}{6}

P(Yellow)=\frac{1}{2}

P(Blue)=\frac{1}{3}

The probability of landing in NOT Blue area is given by:

P(Not Blue)=1-P(Blue)=1-\frac{1}{3}=\frac{2}{3} =0.67

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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Ede4ka [16]

Answer:

D. 2/7

Step-by-step explanation:

The probability is calculate as a division between the number of ways in which Andrew will be selected and karen will not and the total ways in which they can select 4 people from a group of 8 volunteers.

The number of ways in which they can select 4 people from a group of 8 volunteers can be calculated using:

nCk=\frac{n!}{k!(n-k)!}

Where nCk give as the number of ways in which we can form groups of k elements from a group of n elements.

So, if we replace n by 8 and k by 4, we get:

8C4=\frac{8!}{4!(8-4)!}=70

Then, there are 70 ways to select 4 people from a group of 8 volunteers.

At the same way, the number of ways in which Andrew will be selected and karen will not can be calculate replacing n by 6 and k by 3 in the same equation as:

6C3=\frac{6!}{3!(6-3)!}=20

We replace n by 6 because from the 8 volunteers, Andrew is going to be selected and Karen will not, so, the people that affect the result are just the 6 remaining volunteers. Also, k is equal to 3 because Andrew is already selected and we just need to select 3 more people.

Finally, the probability is:

P=\frac{20}{70} = \frac{2}{7}

4 0
2 years ago
Cody is twice as old Evan and five years ago the sum of their age was 14. Find the age of each boy
Pani-rosa [81]
Cody is 15 and evan is 10. 
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Amy ate of a pizza and Jack ate of a pizza. Which of the following is true?
pav-90 [236]

Answer:

c

Step-by-step explanation:

. portion of pizza eaten by Amy = portion of pizza eaten by Jack because it doesn't tell us information how much did they ate.

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What is the solution to the system of equations below?
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(6,2) because X would equals 6 multiplied by 2 equals 12. Now minus 2 and that gives you a equilibrium of 10
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12/39 in simplest form is 4/13 what are two ways to get there
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Divide 3 on the numerator and denominator.

Hoped this helped.

~Bob Ross®
7 0
3 years ago
Read 2 more answers
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