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GalinKa [24]
2 years ago
8

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact p

robability that all three marbles drawn will be green?
Mathematics
1 answer:
LiRa [457]2 years ago
6 0

Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given the bag contains  3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,

\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198

Hence, the exact probability that all three marbles are drawn will be green is 0.02198.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

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Question #19- Use the answer bank below to fill in missing parts of the proof.
serious [3.7K]

Answer:

∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)

∠PQR ≅∠PRQ: Reason; CPCTC

Step-by-step explanation:

\overline{PQ}\cong \overline{PR}: Reason; Given

Draw \overline{PM} so that M is the midpoint of \overline{QR}: Reason; Two points determine a line

\overline{QM}\cong \overline{RM}: Reason; Definition of midpoint

\overline{PM}\cong \overline{PM}: Reason; Reflexive property

ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency

∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC

∠PQR ≅∠PRQ: CPCTC

5 0
3 years ago
Pls help asap, find the height of the cylinder and round to the nearest tenth
Elena L [17]

Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

271.4 = pi ( 6)^2 *h

271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

271.4 = 36 * pi *h

Divide each side by 36 pi

271.4/36pi = h

h=2.3997

Rounding to the nearest tenth

h =2.4

3 0
2 years ago
You fill 1/4 of a 5 gallon bucket. how many more gallons of water will you need to fill the bucket
Bess [88]

1/4 of a five gallon bucket is 1 1/4 gallons.

5-1 1/4=3 3/4 gallons left to fill.

Answer: 3 3/4 gallons

8 0
3 years ago
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yan [13]

Answer:

a^2-1

Step-by-step explanation:

(a+1)(a-1)

=a^2-1

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3 years ago
The weight of a box of cereal can vary by 1/4 of an ounce and still be sold as a full box. Each box is supposed to contain 18 ou
Minchanka [31]
It's answer choice B
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3 years ago
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