1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
2 years ago
14

For a certain​ candy, 20​% of the pieces are​ yellow, 15​% are​ red, 20​% are​ blue, 20​% are​ green, and the rest are brown. ​a

) If you pick a piece at​ random, what is the probability that it is​ brown? it is yellow or​ blue? it is not​ green? it is​ striped? ​b) Assume you have an infinite supply of these candy pieces from which to draw. If you pick three pieces in a​ row, what is the probability that they are all​ brown? the third one is the first one that is​ red? none are​ yellow? at least one is​ green?
Mathematics
1 answer:
OLEGan [10]2 years ago
4 0

Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

  • Brown: \frac{25}{100}
  • Yellow or Blue: \frac{20}{100} +\frac{20}{100} = \frac{40}{100}  ....add the numerators
  • Not Green:  \frac{80}{100}.... since the sum of all the rest is 80%
  • Stiped:  \frac{25}{100} .... there are 0 striped candies.

Assuming the <u><em>ratios/percentages</em></u> of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.

  • 3 Browns: \frac{25*25*25}{100*100*100} = \frac{15,625}{1,000,000} = \frac{1.5625}{100}

  • the 1st and 3rd are red while the middle is any. We multiply 15% * (total of all minus red which is 85%) * 15% like so.

\frac{15*85*15}{100*100*100} = \frac{19,125}{1,000,000} = \frac{1.9125}{100}

  • None are Yellow: multiply the percent of all minus yellow three times.

\frac{80*80*80}{100*100*100} = \frac{512,000}{1,000,000} = \frac{51.2}{100}

  • At least 1 green: multiply the percent of green by 100% twice, since the other two can by any

\frac{20*100*100}{100*100*100} = \frac{200,000}{1,000,000} = \frac{20}{100}

You might be interested in
State the solution of the system of linear equation using its grap<br> 6.<br> SOLUTION: (<br> -2
IRINA_888 [86]

Answer:

Solution is (2, -1)

Step-by-step explanation:

The lines cross  at the point where x = 2 and y = -1.

3 0
3 years ago
Calculate the measure of angle ADB if angle ACB is 50 degrees.
ahrayia [7]

Answer:

ADB=50°

Step-by-step explanation:

Angles subtended by the same segment are equal

4 0
2 years ago
Find angle x and y. Please show step by step process.
lora16 [44]

Answer:

x = 60, y = 25

Step-by-step explanation:

Δ ABC has 3 congruent sides and is equiangular, thus

the 3 angles are congruent, all 60°

x = 60

∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then

∠ CBD = 180° - 60° = 120°, so

y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle

y = 25

4 0
3 years ago
Otto had two days to paint 9 paintings. He painted 5 1\5 yesterday. How many paintings does Otto need to paint today?
enot [183]

Answer:

He needs to paint 3 4/5 today.

Step-by-step explanation:

9 - 5 1/5 = 3 4/5

Otto will need to paint 3 4/5 today.

4 0
2 years ago
Read 2 more answers
Which expression is equivalent to (-3y - x) - (5y - 8x)?
Vinil7 [7]

Answer:

b

Step-by-step explanation:

plz mark brainliest

4 0
3 years ago
Other questions:
  • The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 162. If state
    5·1 answer
  • What times what equal 57
    9·1 answer
  • Andy's family drove 3 kilometers to the grocery store. how many meters did they drive?
    6·2 answers
  • Determine the difference: 3.2 × 1010 – 1.1 × 1011 Write your answer in scientific notation.
    14·1 answer
  • what is the portion of a line that starts at one point and goes off in a particular direction to infinity
    7·2 answers
  • Please help w the question in the pic, thanksss!
    13·1 answer
  • I WILL GIVE BRAINLIEST!! {y=−x+3y=x+5 What is the solution for this system of equations? Enter your answer in the boxes.
    7·2 answers
  • What is an equation of the line that passes through the points
    6·1 answer
  • The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minu
    13·2 answers
  • I need help. The answers has to be exact so I can’t use decimals
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!